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Finding the Fourth Proportional to 24,077.17, 36,102.52 and 7,432.62

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Solution

The fourth proportional to 24,077.17, 36,102.52 and 7,432.62 is: 11,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,077.17 : 36,102.52 = 7,432.62 : x
  2. Step 2: Convert to fraction form
    24,077.17/36,102.52 = 7,432.62/x
  3. Step 3: Cross multiply
    24,077.17x = 36,102.52 × 7,432.62
  4. Step 4: Simplify right side
    24,077.17x = 268,336,312.20
  5. Step 5: Solve for x
    x = 268,336,312.20/24,077.17
  6. Step 6: Final answer
    x = 11,144.84

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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.