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Finding the Fourth Proportional to 24,379.67, 36,565.76 and 7,737.54

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Solution

The fourth proportional to 24,379.67, 36,565.76 and 7,737.54 is: 11,605.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379.67 : 36,565.76 = 7,737.54 : x
  2. Step 2: Convert to fraction form
    24,379.67/36,565.76 = 7,737.54/x
  3. Step 3: Cross multiply
    24,379.67x = 36,565.76 × 7,737.54
  4. Step 4: Simplify right side
    24,379.67x = 282,929,049.97
  5. Step 5: Solve for x
    x = 282,929,049.97/24,379.67
  6. Step 6: Final answer
    x = 11,605.12

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Why These Related Problems?

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