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Finding the Fourth Proportional to 22,344.98, 33,517.49 and 9,188.15

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Solution

The fourth proportional to 22,344.98, 33,517.49 and 9,188.15 is: 13,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,344.98 : 33,517.49 = 9,188.15 : x
  2. Step 2: Convert to fraction form
    22,344.98/33,517.49 = 9,188.15/x
  3. Step 3: Cross multiply
    22,344.98x = 33,517.49 × 9,188.15
  4. Step 4: Simplify right side
    22,344.98x = 307,963,512.22
  5. Step 5: Solve for x
    x = 307,963,512.22/22,344.98
  6. Step 6: Final answer
    x = 13,782.23

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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.