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Finding the Fourth Proportional to 22,522.71, 31,078.64 and 12,449.78

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Solution

The fourth proportional to 22,522.71, 31,078.64 and 12,449.78 is: 17,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,522.71 : 31,078.64 = 12,449.78 : x
  2. Step 2: Convert to fraction form
    22,522.71/31,078.64 = 12,449.78/x
  3. Step 3: Cross multiply
    22,522.71x = 31,078.64 × 12,449.78
  4. Step 4: Simplify right side
    22,522.71x = 386,922,262.21
  5. Step 5: Solve for x
    x = 386,922,262.21/22,522.71
  6. Step 6: Final answer
    x = 17,179.20

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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.