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Finding the Fourth Proportional to 24,897.57, 34,358.75 and 13,567.29

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Solution

The fourth proportional to 24,897.57, 34,358.75 and 13,567.29 is: 18,722.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,897.57 : 34,358.75 = 13,567.29 : x
  2. Step 2: Convert to fraction form
    24,897.57/34,358.75 = 13,567.29/x
  3. Step 3: Cross multiply
    24,897.57x = 34,358.75 × 13,567.29
  4. Step 4: Simplify right side
    24,897.57x = 466,155,125.29
  5. Step 5: Solve for x
    x = 466,155,125.29/24,897.57
  6. Step 6: Final answer
    x = 18,722.92

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