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Finding the Fourth Proportional to 22,616.75, 31,211.13 and 12,680.75

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Solution

The fourth proportional to 22,616.75, 31,211.13 and 12,680.75 is: 17,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.75 : 31,211.13 = 12,680.75 : x
  2. Step 2: Convert to fraction form
    22,616.75/31,211.13 = 12,680.75/x
  3. Step 3: Cross multiply
    22,616.75x = 31,211.13 × 12,680.75
  4. Step 4: Simplify right side
    22,616.75x = 395,780,536.75
  5. Step 5: Solve for x
    x = 395,780,536.75/22,616.75
  6. Step 6: Final answer
    x = 17,499.44

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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.