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Finding the Fourth Proportional to 24,537.92, 33,862.24 and 13,360

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Solution

The fourth proportional to 24,537.92, 33,862.24 and 13,360 is: 18,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537.92 : 33,862.24 = 13,360 : x
  2. Step 2: Convert to fraction form
    24,537.92/33,862.24 = 13,360/x
  3. Step 3: Cross multiply
    24,537.92x = 33,862.24 × 13,360
  4. Step 4: Simplify right side
    24,537.92x = 452,399,526.40
  5. Step 5: Solve for x
    x = 452,399,526.40/24,537.92
  6. Step 6: Final answer
    x = 18,436.75

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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.