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Finding the Fourth Proportional to 22,884.39, 31,579.17 and 12,812.66

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Solution

The fourth proportional to 22,884.39, 31,579.17 and 12,812.66 is: 17,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884.39 : 31,579.17 = 12,812.66 : x
  2. Step 2: Convert to fraction form
    22,884.39/31,579.17 = 12,812.66/x
  3. Step 3: Cross multiply
    22,884.39x = 31,579.17 × 12,812.66
  4. Step 4: Simplify right side
    22,884.39x = 404,613,132.41
  5. Step 5: Solve for x
    x = 404,613,132.41/22,884.39
  6. Step 6: Final answer
    x = 17,680.75

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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.