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Finding the Fourth Proportional to 24,082.38, 36,109.62 and 7,437.96

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Solution

The fourth proportional to 24,082.38, 36,109.62 and 7,437.96 is: 11,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082.38 : 36,109.62 = 7,437.96 : x
  2. Step 2: Convert to fraction form
    24,082.38/36,109.62 = 7,437.96/x
  3. Step 3: Cross multiply
    24,082.38x = 36,109.62 × 7,437.96
  4. Step 4: Simplify right side
    24,082.38x = 268,581,909.18
  5. Step 5: Solve for x
    x = 268,581,909.18/24,082.38
  6. Step 6: Final answer
    x = 11,152.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.