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Finding the Fourth Proportional to 16,446.80, 24,641.40 and 13,509.20

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Solution

The fourth proportional to 16,446.80, 24,641.40 and 13,509.20 is: 20,240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,446.80 : 24,641.40 = 13,509.20 : x
  2. Step 2: Convert to fraction form
    16,446.80/24,641.40 = 13,509.20/x
  3. Step 3: Cross multiply
    16,446.80x = 24,641.40 × 13,509.20
  4. Step 4: Simplify right side
    16,446.80x = 332,885,600.88
  5. Step 5: Solve for x
    x = 332,885,600.88/16,446.80
  6. Step 6: Final answer
    x = 20,240.14

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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.