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Finding the Fourth Proportional to 24,209.29, 33,407.92 and 13,454.83

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Solution

The fourth proportional to 24,209.29, 33,407.92 and 13,454.83 is: 18,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,209.29 : 33,407.92 = 13,454.83 : x
  2. Step 2: Convert to fraction form
    24,209.29/33,407.92 = 13,454.83/x
  3. Step 3: Cross multiply
    24,209.29x = 33,407.92 × 13,454.83
  4. Step 4: Simplify right side
    24,209.29x = 449,497,884.25
  5. Step 5: Solve for x
    x = 449,497,884.25/24,209.29
  6. Step 6: Final answer
    x = 18,567.17

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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.