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Finding the Fourth Proportional to 22,649.88, 31,257.18 and 12,578.97

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Solution

The fourth proportional to 22,649.88, 31,257.18 and 12,578.97 is: 17,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.88 : 31,257.18 = 12,578.97 : x
  2. Step 2: Convert to fraction form
    22,649.88/31,257.18 = 12,578.97/x
  3. Step 3: Cross multiply
    22,649.88x = 31,257.18 × 12,578.97
  4. Step 4: Simplify right side
    22,649.88x = 393,183,129.50
  5. Step 5: Solve for x
    x = 393,183,129.50/22,649.88
  6. Step 6: Final answer
    x = 17,359.17

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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.