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Finding the Fourth Proportional to 16,540.98, 24,816.14 and 6,687.16

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Solution

The fourth proportional to 16,540.98, 24,816.14 and 6,687.16 is: 10,032.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.98 : 24,816.14 = 6,687.16 : x
  2. Step 2: Convert to fraction form
    16,540.98/24,816.14 = 6,687.16/x
  3. Step 3: Cross multiply
    16,540.98x = 24,816.14 × 6,687.16
  4. Step 4: Simplify right side
    16,540.98x = 165,949,428.36
  5. Step 5: Solve for x
    x = 165,949,428.36/16,540.98
  6. Step 6: Final answer
    x = 10,032.63

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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.