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Finding the Fourth Proportional to 20,842.92, 31,257 and 7,691.76

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Solution

The fourth proportional to 20,842.92, 31,257 and 7,691.76 is: 11,534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.92 : 31,257 = 7,691.76 : x
  2. Step 2: Convert to fraction form
    20,842.92/31,257 = 7,691.76/x
  3. Step 3: Cross multiply
    20,842.92x = 31,257 × 7,691.76
  4. Step 4: Simplify right side
    20,842.92x = 240,421,342.32
  5. Step 5: Solve for x
    x = 240,421,342.32/20,842.92
  6. Step 6: Final answer
    x = 11,534.92

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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.