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Finding the Fourth Proportional to 21,812.82, 32,691.78 and 11,817.18

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Solution

The fourth proportional to 21,812.82, 32,691.78 and 11,817.18 is: 17,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,812.82 : 32,691.78 = 11,817.18 : x
  2. Step 2: Convert to fraction form
    21,812.82/32,691.78 = 11,817.18/x
  3. Step 3: Cross multiply
    21,812.82x = 32,691.78 × 11,817.18
  4. Step 4: Simplify right side
    21,812.82x = 386,324,648.78
  5. Step 5: Solve for x
    x = 386,324,648.78/21,812.82
  6. Step 6: Final answer
    x = 17,710.90

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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.