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Finding the Fourth Proportional to 21,227.54, 31,841.39 and 6,436.58

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Solution

The fourth proportional to 21,227.54, 31,841.39 and 6,436.58 is: 9,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,227.54 : 31,841.39 = 6,436.58 : x
  2. Step 2: Convert to fraction form
    21,227.54/31,841.39 = 6,436.58/x
  3. Step 3: Cross multiply
    21,227.54x = 31,841.39 × 6,436.58
  4. Step 4: Simplify right side
    21,227.54x = 204,949,462.66
  5. Step 5: Solve for x
    x = 204,949,462.66/21,227.54
  6. Step 6: Final answer
    x = 9,654.89

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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.