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Finding the Fourth Proportional to 16,265.99, 24,375.56 and 9,586.73

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Solution

The fourth proportional to 16,265.99, 24,375.56 and 9,586.73 is: 14,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.99 : 24,375.56 = 9,586.73 : x
  2. Step 2: Convert to fraction form
    16,265.99/24,375.56 = 9,586.73/x
  3. Step 3: Cross multiply
    16,265.99x = 24,375.56 × 9,586.73
  4. Step 4: Simplify right side
    16,265.99x = 233,681,912.32
  5. Step 5: Solve for x
    x = 233,681,912.32/16,265.99
  6. Step 6: Final answer
    x = 14,366.29

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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.