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Finding the Fourth Proportional to 24,150, 36,221.10 and 6,615.73

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Solution

The fourth proportional to 24,150, 36,221.10 and 6,615.73 is: 9,922.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,150 : 36,221.10 = 6,615.73 : x
  2. Step 2: Convert to fraction form
    24,150/36,221.10 = 6,615.73/x
  3. Step 3: Cross multiply
    24,150x = 36,221.10 × 6,615.73
  4. Step 4: Simplify right side
    24,150x = 239,629,017.90
  5. Step 5: Solve for x
    x = 239,629,017.90/24,150
  6. Step 6: Final answer
    x = 9,922.53

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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.