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Finding the Fourth Proportional to 22,725.30, 34,082.64 and 8,680.17

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Solution

The fourth proportional to 22,725.30, 34,082.64 and 8,680.17 is: 13,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,725.30 : 34,082.64 = 8,680.17 : x
  2. Step 2: Convert to fraction form
    22,725.30/34,082.64 = 8,680.17/x
  3. Step 3: Cross multiply
    22,725.30x = 34,082.64 × 8,680.17
  4. Step 4: Simplify right side
    22,725.30x = 295,843,109.25
  5. Step 5: Solve for x
    x = 295,843,109.25/22,725.30
  6. Step 6: Final answer
    x = 13,018.23

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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.