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Finding the Fourth Proportional to 16,542.42, 24,793.13 and 7,758.89

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Solution

The fourth proportional to 16,542.42, 24,793.13 and 7,758.89 is: 11,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.42 : 24,793.13 = 7,758.89 : x
  2. Step 2: Convert to fraction form
    16,542.42/24,793.13 = 7,758.89/x
  3. Step 3: Cross multiply
    16,542.42x = 24,793.13 × 7,758.89
  4. Step 4: Simplify right side
    16,542.42x = 192,367,044.46
  5. Step 5: Solve for x
    x = 192,367,044.46/16,542.42
  6. Step 6: Final answer
    x = 11,628.71

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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.