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Finding the Fourth Proportional to 20,808.25, 31,215.48 and 7,659.61

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Solution

The fourth proportional to 20,808.25, 31,215.48 and 7,659.61 is: 11,490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808.25 : 31,215.48 = 7,659.61 : x
  2. Step 2: Convert to fraction form
    20,808.25/31,215.48 = 7,659.61/x
  3. Step 3: Cross multiply
    20,808.25x = 31,215.48 × 7,659.61
  4. Step 4: Simplify right side
    20,808.25x = 239,098,402.76
  5. Step 5: Solve for x
    x = 239,098,402.76/20,808.25
  6. Step 6: Final answer
    x = 11,490.56

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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.