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Finding the Fourth Proportional to 22,882.73, 31,578.18 and 12,811.19

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Solution

The fourth proportional to 22,882.73, 31,578.18 and 12,811.19 is: 17,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882.73 : 31,578.18 = 12,811.19 : x
  2. Step 2: Convert to fraction form
    22,882.73/31,578.18 = 12,811.19/x
  3. Step 3: Cross multiply
    22,882.73x = 31,578.18 × 12,811.19
  4. Step 4: Simplify right side
    22,882.73x = 404,554,142.78
  5. Step 5: Solve for x
    x = 404,554,142.78/22,882.73
  6. Step 6: Final answer
    x = 17,679.45

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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.