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Finding the Fourth Proportional to 21,251.80, 31,877.75 and 6,460.84

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Solution

The fourth proportional to 21,251.80, 31,877.75 and 6,460.84 is: 9,691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,251.80 : 31,877.75 = 6,460.84 : x
  2. Step 2: Convert to fraction form
    21,251.80/31,877.75 = 6,460.84/x
  3. Step 3: Cross multiply
    21,251.80x = 31,877.75 × 6,460.84
  4. Step 4: Simplify right side
    21,251.80x = 205,957,042.31
  5. Step 5: Solve for x
    x = 205,957,042.31/21,251.80
  6. Step 6: Final answer
    x = 9,691.28

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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.