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Finding the Fourth Proportional to 21,307.68, 31,957.92 and 5,721.84

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Solution

The fourth proportional to 21,307.68, 31,957.92 and 5,721.84 is: 8,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,307.68 : 31,957.92 = 5,721.84 : x
  2. Step 2: Convert to fraction form
    21,307.68/31,957.92 = 5,721.84/x
  3. Step 3: Cross multiply
    21,307.68x = 31,957.92 × 5,721.84
  4. Step 4: Simplify right side
    21,307.68x = 182,858,104.97
  5. Step 5: Solve for x
    x = 182,858,104.97/21,307.68
  6. Step 6: Final answer
    x = 8,581.79

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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.