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Finding the Fourth Proportional to 16,516.55, 24,793.05 and 9,117.20

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Solution

The fourth proportional to 16,516.55, 24,793.05 and 9,117.20 is: 13,685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.55 : 24,793.05 = 9,117.20 : x
  2. Step 2: Convert to fraction form
    16,516.55/24,793.05 = 9,117.20/x
  3. Step 3: Cross multiply
    16,516.55x = 24,793.05 × 9,117.20
  4. Step 4: Simplify right side
    16,516.55x = 226,043,195.46
  5. Step 5: Solve for x
    x = 226,043,195.46/16,516.55
  6. Step 6: Final answer
    x = 13,685.86

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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.