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Finding the Fourth Proportional to 24,151.86, 36,223.92 and 6,617.61

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Solution

The fourth proportional to 24,151.86, 36,223.92 and 6,617.61 is: 9,925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,151.86 : 36,223.92 = 6,617.61 : x
  2. Step 2: Convert to fraction form
    24,151.86/36,223.92 = 6,617.61/x
  3. Step 3: Cross multiply
    24,151.86x = 36,223.92 × 6,617.61
  4. Step 4: Simplify right side
    24,151.86x = 239,715,775.23
  5. Step 5: Solve for x
    x = 239,715,775.23/24,151.86
  6. Step 6: Final answer
    x = 9,925.35

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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.