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Finding the Fourth Proportional to 22,891.44, 31,586.51 and 12,820.30

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Solution

The fourth proportional to 22,891.44, 31,586.51 and 12,820.30 is: 17,689.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,891.44 : 31,586.51 = 12,820.30 : x
  2. Step 2: Convert to fraction form
    22,891.44/31,586.51 = 12,820.30/x
  3. Step 3: Cross multiply
    22,891.44x = 31,586.51 × 12,820.30
  4. Step 4: Simplify right side
    22,891.44x = 404,948,503.96
  5. Step 5: Solve for x
    x = 404,948,503.96/22,891.44
  6. Step 6: Final answer
    x = 17,689.96

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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.