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Finding the Fourth Proportional to 22,753.90, 31,396.57 and 12,680.13

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Solution

The fourth proportional to 22,753.90, 31,396.57 and 12,680.13 is: 17,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,753.90 : 31,396.57 = 12,680.13 : x
  2. Step 2: Convert to fraction form
    22,753.90/31,396.57 = 12,680.13/x
  3. Step 3: Cross multiply
    22,753.90x = 31,396.57 × 12,680.13
  4. Step 4: Simplify right side
    22,753.90x = 398,112,589.15
  5. Step 5: Solve for x
    x = 398,112,589.15/22,753.90
  6. Step 6: Final answer
    x = 17,496.46

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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.