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Finding the Fourth Proportional to 24,380.68, 36,572.28 and 7,742.01

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Solution

The fourth proportional to 24,380.68, 36,572.28 and 7,742.01 is: 11,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380.68 : 36,572.28 = 7,742.01 : x
  2. Step 2: Convert to fraction form
    24,380.68/36,572.28 = 7,742.01/x
  3. Step 3: Cross multiply
    24,380.68x = 36,572.28 × 7,742.01
  4. Step 4: Simplify right side
    24,380.68x = 283,142,957.48
  5. Step 5: Solve for x
    x = 283,142,957.48/24,380.68
  6. Step 6: Final answer
    x = 11,613.42

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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.