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Finding the Fourth Proportional to 21,909.67, 30,233.17 and 13,414.18

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Solution

The fourth proportional to 21,909.67, 30,233.17 and 13,414.18 is: 18,510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909.67 : 30,233.17 = 13,414.18 : x
  2. Step 2: Convert to fraction form
    21,909.67/30,233.17 = 13,414.18/x
  3. Step 3: Cross multiply
    21,909.67x = 30,233.17 × 13,414.18
  4. Step 4: Simplify right side
    21,909.67x = 405,553,184.35
  5. Step 5: Solve for x
    x = 405,553,184.35/21,909.67
  6. Step 6: Final answer
    x = 18,510.24

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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.