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Finding the Fourth Proportional to 18,761.20, 28,146.92 and 6,283.28

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Solution

The fourth proportional to 18,761.20, 28,146.92 and 6,283.28 is: 9,426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,761.20 : 28,146.92 = 6,283.28 : x
  2. Step 2: Convert to fraction form
    18,761.20/28,146.92 = 6,283.28/x
  3. Step 3: Cross multiply
    18,761.20x = 28,146.92 × 6,283.28
  4. Step 4: Simplify right side
    18,761.20x = 176,854,979.50
  5. Step 5: Solve for x
    x = 176,854,979.50/18,761.20
  6. Step 6: Final answer
    x = 9,426.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.