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Finding the Fourth Proportional to 16,438.20, 24,659.76 and 6,049.16

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Solution

The fourth proportional to 16,438.20, 24,659.76 and 6,049.16 is: 9,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.20 : 24,659.76 = 6,049.16 : x
  2. Step 2: Convert to fraction form
    16,438.20/24,659.76 = 6,049.16/x
  3. Step 3: Cross multiply
    16,438.20x = 24,659.76 × 6,049.16
  4. Step 4: Simplify right side
    16,438.20x = 149,170,833.80
  5. Step 5: Solve for x
    x = 149,170,833.80/16,438.20
  6. Step 6: Final answer
    x = 9,074.65

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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.