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Finding the Fourth Proportional to 22,568.50, 31,144.56 and 12,632.50

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Solution

The fourth proportional to 22,568.50, 31,144.56 and 12,632.50 is: 17,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,568.50 : 31,144.56 = 12,632.50 : x
  2. Step 2: Convert to fraction form
    22,568.50/31,144.56 = 12,632.50/x
  3. Step 3: Cross multiply
    22,568.50x = 31,144.56 × 12,632.50
  4. Step 4: Simplify right side
    22,568.50x = 393,433,654.20
  5. Step 5: Solve for x
    x = 393,433,654.20/22,568.50
  6. Step 6: Final answer
    x = 17,432.87

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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.