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Finding the Fourth Proportional to 24,082.31, 33,233.59 and 13,471.95

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Solution

The fourth proportional to 24,082.31, 33,233.59 and 13,471.95 is: 18,591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082.31 : 33,233.59 = 13,471.95 : x
  2. Step 2: Convert to fraction form
    24,082.31/33,233.59 = 13,471.95/x
  3. Step 3: Cross multiply
    24,082.31x = 33,233.59 × 13,471.95
  4. Step 4: Simplify right side
    24,082.31x = 447,721,123.86
  5. Step 5: Solve for x
    x = 447,721,123.86/24,082.31
  6. Step 6: Final answer
    x = 18,591.28

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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.