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Finding the Fourth Proportional to 16,542.10, 24,812.97 and 4,062.16

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Solution

The fourth proportional to 16,542.10, 24,812.97 and 4,062.16 is: 6,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.10 : 24,812.97 = 4,062.16 : x
  2. Step 2: Convert to fraction form
    16,542.10/24,812.97 = 4,062.16/x
  3. Step 3: Cross multiply
    16,542.10x = 24,812.97 × 4,062.16
  4. Step 4: Simplify right side
    16,542.10x = 100,794,254.22
  5. Step 5: Solve for x
    x = 100,794,254.22/16,542.10
  6. Step 6: Final answer
    x = 6,093.20

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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.