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Finding the Fourth Proportional to 21,042.83, 31,564.31 and 6,251.87

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Solution

The fourth proportional to 21,042.83, 31,564.31 and 6,251.87 is: 9,377.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042.83 : 31,564.31 = 6,251.87 : x
  2. Step 2: Convert to fraction form
    21,042.83/31,564.31 = 6,251.87/x
  3. Step 3: Cross multiply
    21,042.83x = 31,564.31 × 6,251.87
  4. Step 4: Simplify right side
    21,042.83x = 197,335,962.76
  5. Step 5: Solve for x
    x = 197,335,962.76/21,042.83
  6. Step 6: Final answer
    x = 9,377.82

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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.