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Finding the Fourth Proportional to 16,586.20, 24,872.04 and 5,338.84

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Solution

The fourth proportional to 16,586.20, 24,872.04 and 5,338.84 is: 8,005.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.20 : 24,872.04 = 5,338.84 : x
  2. Step 2: Convert to fraction form
    16,586.20/24,872.04 = 5,338.84/x
  3. Step 3: Cross multiply
    16,586.20x = 24,872.04 × 5,338.84
  4. Step 4: Simplify right side
    16,586.20x = 132,787,842.03
  5. Step 5: Solve for x
    x = 132,787,842.03/16,586.20
  6. Step 6: Final answer
    x = 8,005.92

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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.