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Finding the Fourth Proportional to 22,568.74, 31,147.41 and 13,143.22

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Solution

The fourth proportional to 22,568.74, 31,147.41 and 13,143.22 is: 18,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,568.74 : 31,147.41 = 13,143.22 : x
  2. Step 2: Convert to fraction form
    22,568.74/31,147.41 = 13,143.22/x
  3. Step 3: Cross multiply
    22,568.74x = 31,147.41 × 13,143.22
  4. Step 4: Simplify right side
    22,568.74x = 409,377,262.06
  5. Step 5: Solve for x
    x = 409,377,262.06/22,568.74
  6. Step 6: Final answer
    x = 18,139.13

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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.