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Finding the Fourth Proportional to 17,214.35, 23,753.85 and 9,659.11

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Solution

The fourth proportional to 17,214.35, 23,753.85 and 9,659.11 is: 13,328.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.35 : 23,753.85 = 9,659.11 : x
  2. Step 2: Convert to fraction form
    17,214.35/23,753.85 = 9,659.11/x
  3. Step 3: Cross multiply
    17,214.35x = 23,753.85 × 9,659.11
  4. Step 4: Simplify right side
    17,214.35x = 229,441,050.07
  5. Step 5: Solve for x
    x = 229,441,050.07/17,214.35
  6. Step 6: Final answer
    x = 13,328.48

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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.