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Finding the Fourth Proportional to 17,000.21, 23,458.95 and 9,446.42

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Solution

The fourth proportional to 17,000.21, 23,458.95 and 9,446.42 is: 13,035.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000.21 : 23,458.95 = 9,446.42 : x
  2. Step 2: Convert to fraction form
    17,000.21/23,458.95 = 9,446.42/x
  3. Step 3: Cross multiply
    17,000.21x = 23,458.95 × 9,446.42
  4. Step 4: Simplify right side
    17,000.21x = 221,603,153.11
  5. Step 5: Solve for x
    x = 221,603,153.11/17,000.21
  6. Step 6: Final answer
    x = 13,035.32

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.