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Finding the Fourth Proportional to 24,082.50, 33,233.13 and 13,472.22

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Solution

The fourth proportional to 24,082.50, 33,233.13 and 13,472.22 is: 18,591.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082.50 : 33,233.13 = 13,472.22 : x
  2. Step 2: Convert to fraction form
    24,082.50/33,233.13 = 13,472.22/x
  3. Step 3: Cross multiply
    24,082.50x = 33,233.13 × 13,472.22
  4. Step 4: Simplify right side
    24,082.50x = 447,724,038.65
  5. Step 5: Solve for x
    x = 447,724,038.65/24,082.50
  6. Step 6: Final answer
    x = 18,591.26

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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.