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Finding the Fourth Proportional to 22,578.08, 31,158.22 and 13,512.82

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Solution

The fourth proportional to 22,578.08, 31,158.22 and 13,512.82 is: 18,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.08 : 31,158.22 = 13,512.82 : x
  2. Step 2: Convert to fraction form
    22,578.08/31,158.22 = 13,512.82/x
  3. Step 3: Cross multiply
    22,578.08x = 31,158.22 × 13,512.82
  4. Step 4: Simplify right side
    22,578.08x = 421,035,306.70
  5. Step 5: Solve for x
    x = 421,035,306.70/22,578.08
  6. Step 6: Final answer
    x = 18,647.97

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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.