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Finding the Fourth Proportional to 24,077.15, 36,119.17 and 7,438.60

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Solution

The fourth proportional to 24,077.15, 36,119.17 and 7,438.60 is: 11,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,077.15 : 36,119.17 = 7,438.60 : x
  2. Step 2: Convert to fraction form
    24,077.15/36,119.17 = 7,438.60/x
  3. Step 3: Cross multiply
    24,077.15x = 36,119.17 × 7,438.60
  4. Step 4: Simplify right side
    24,077.15x = 268,676,070.57
  5. Step 5: Solve for x
    x = 268,676,070.57/24,077.15
  6. Step 6: Final answer
    x = 11,158.97

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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.