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Finding the Fourth Proportional to 16,071.87, 24,123.38 and 7,757.73

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Solution

The fourth proportional to 16,071.87, 24,123.38 and 7,757.73 is: 11,644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.87 : 24,123.38 = 7,757.73 : x
  2. Step 2: Convert to fraction form
    16,071.87/24,123.38 = 7,757.73/x
  3. Step 3: Cross multiply
    16,071.87x = 24,123.38 × 7,757.73
  4. Step 4: Simplify right side
    16,071.87x = 187,142,668.73
  5. Step 5: Solve for x
    x = 187,142,668.73/16,071.87
  6. Step 6: Final answer
    x = 11,644.11

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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.