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Finding the Fourth Proportional to 22,686.12, 31,304.34 and 13,611

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Solution

The fourth proportional to 22,686.12, 31,304.34 and 13,611 is: 18,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.12 : 31,304.34 = 13,611 : x
  2. Step 2: Convert to fraction form
    22,686.12/31,304.34 = 13,611/x
  3. Step 3: Cross multiply
    22,686.12x = 31,304.34 × 13,611
  4. Step 4: Simplify right side
    22,686.12x = 426,083,371.74
  5. Step 5: Solve for x
    x = 426,083,371.74/22,686.12
  6. Step 6: Final answer
    x = 18,781.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.