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Finding the Fourth Proportional to 16,146.56, 24,218.32 and 5,614.03

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Solution

The fourth proportional to 16,146.56, 24,218.32 and 5,614.03 is: 8,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.56 : 24,218.32 = 5,614.03 : x
  2. Step 2: Convert to fraction form
    16,146.56/24,218.32 = 5,614.03/x
  3. Step 3: Cross multiply
    16,146.56x = 24,218.32 × 5,614.03
  4. Step 4: Simplify right side
    16,146.56x = 135,962,375.03
  5. Step 5: Solve for x
    x = 135,962,375.03/16,146.56
  6. Step 6: Final answer
    x = 8,420.52

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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.