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Finding the Fourth Proportional to 22,649.18, 31,256.17 and 12,578.27

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Solution

The fourth proportional to 22,649.18, 31,256.17 and 12,578.27 is: 17,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.18 : 31,256.17 = 12,578.27 : x
  2. Step 2: Convert to fraction form
    22,649.18/31,256.17 = 12,578.27/x
  3. Step 3: Cross multiply
    22,649.18x = 31,256.17 × 12,578.27
  4. Step 4: Simplify right side
    22,649.18x = 393,148,357.70
  5. Step 5: Solve for x
    x = 393,148,357.70/22,649.18
  6. Step 6: Final answer
    x = 17,358.18

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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.