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Finding the Fourth Proportional to 24,531.71, 33,850.96 and 13,775.15

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Solution

The fourth proportional to 24,531.71, 33,850.96 and 13,775.15 is: 19,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,531.71 : 33,850.96 = 13,775.15 : x
  2. Step 2: Convert to fraction form
    24,531.71/33,850.96 = 13,775.15/x
  3. Step 3: Cross multiply
    24,531.71x = 33,850.96 × 13,775.15
  4. Step 4: Simplify right side
    24,531.71x = 466,302,101.83
  5. Step 5: Solve for x
    x = 466,302,101.83/24,531.71
  6. Step 6: Final answer
    x = 19,008.14

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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.