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Finding the Fourth Proportional to 22,706.97, 34,085.19 and 17,220.30

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Solution

The fourth proportional to 22,706.97, 34,085.19 and 17,220.30 is: 25,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.97 : 34,085.19 = 17,220.30 : x
  2. Step 2: Convert to fraction form
    22,706.97/34,085.19 = 17,220.30/x
  3. Step 3: Cross multiply
    22,706.97x = 34,085.19 × 17,220.30
  4. Step 4: Simplify right side
    22,706.97x = 586,957,197.36
  5. Step 5: Solve for x
    x = 586,957,197.36/22,706.97
  6. Step 6: Final answer
    x = 25,849.21

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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.