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Finding the Fourth Proportional to 17,000.44, 23,459.22 and 9,830.81

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Solution

The fourth proportional to 17,000.44, 23,459.22 and 9,830.81 is: 13,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000.44 : 23,459.22 = 9,830.81 : x
  2. Step 2: Convert to fraction form
    17,000.44/23,459.22 = 9,830.81/x
  3. Step 3: Cross multiply
    17,000.44x = 23,459.22 × 9,830.81
  4. Step 4: Simplify right side
    17,000.44x = 230,623,134.57
  5. Step 5: Solve for x
    x = 230,623,134.57/17,000.44
  6. Step 6: Final answer
    x = 13,565.72

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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.