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Finding the Fourth Proportional to 23,116.82, 34,644.58 and 11,871.71

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Solution

The fourth proportional to 23,116.82, 34,644.58 and 11,871.71 is: 17,791.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116.82 : 34,644.58 = 11,871.71 : x
  2. Step 2: Convert to fraction form
    23,116.82/34,644.58 = 11,871.71/x
  3. Step 3: Cross multiply
    23,116.82x = 34,644.58 × 11,871.71
  4. Step 4: Simplify right side
    23,116.82x = 411,290,254.66
  5. Step 5: Solve for x
    x = 411,290,254.66/23,116.82
  6. Step 6: Final answer
    x = 17,791.82

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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.