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Finding the Fourth Proportional to 24,115.86, 36,178.92 and 7,476.30

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Solution

The fourth proportional to 24,115.86, 36,178.92 and 7,476.30 is: 11,216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,115.86 : 36,178.92 = 7,476.30 : x
  2. Step 2: Convert to fraction form
    24,115.86/36,178.92 = 7,476.30/x
  3. Step 3: Cross multiply
    24,115.86x = 36,178.92 × 7,476.30
  4. Step 4: Simplify right side
    24,115.86x = 270,484,459.60
  5. Step 5: Solve for x
    x = 270,484,459.60/24,115.86
  6. Step 6: Final answer
    x = 11,216.04

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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.