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Finding the Fourth Proportional to 16,142.52, 24,201.76 and 6,785.28

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Solution

The fourth proportional to 16,142.52, 24,201.76 and 6,785.28 is: 10,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.52 : 24,201.76 = 6,785.28 : x
  2. Step 2: Convert to fraction form
    16,142.52/24,201.76 = 6,785.28/x
  3. Step 3: Cross multiply
    16,142.52x = 24,201.76 × 6,785.28
  4. Step 4: Simplify right side
    16,142.52x = 164,215,718.09
  5. Step 5: Solve for x
    x = 164,215,718.09/16,142.52
  6. Step 6: Final answer
    x = 10,172.87

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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.