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Finding the Fourth Proportional to 24,523.68, 36,753.20 and 9,724.52

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Solution

The fourth proportional to 24,523.68, 36,753.20 and 9,724.52 is: 14,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.68 : 36,753.20 = 9,724.52 : x
  2. Step 2: Convert to fraction form
    24,523.68/36,753.20 = 9,724.52/x
  3. Step 3: Cross multiply
    24,523.68x = 36,753.20 × 9,724.52
  4. Step 4: Simplify right side
    24,523.68x = 357,407,228.46
  5. Step 5: Solve for x
    x = 357,407,228.46/24,523.68
  6. Step 6: Final answer
    x = 14,573.96

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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.