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Finding the Fourth Proportional to 22,642.12, 31,243.89 and 12,568.15

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Solution

The fourth proportional to 22,642.12, 31,243.89 and 12,568.15 is: 17,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.12 : 31,243.89 = 12,568.15 : x
  2. Step 2: Convert to fraction form
    22,642.12/31,243.89 = 12,568.15/x
  3. Step 3: Cross multiply
    22,642.12x = 31,243.89 × 12,568.15
  4. Step 4: Simplify right side
    22,642.12x = 392,677,896.10
  5. Step 5: Solve for x
    x = 392,677,896.10/22,642.12
  6. Step 6: Final answer
    x = 17,342.81

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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.