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Finding the Fourth Proportional to 22,977.24, 31,680.84 and 17,874.24

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Solution

The fourth proportional to 22,977.24, 31,680.84 and 17,874.24 is: 24,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.24 : 31,680.84 = 17,874.24 : x
  2. Step 2: Convert to fraction form
    22,977.24/31,680.84 = 17,874.24/x
  3. Step 3: Cross multiply
    22,977.24x = 31,680.84 × 17,874.24
  4. Step 4: Simplify right side
    22,977.24x = 566,270,937.56
  5. Step 5: Solve for x
    x = 566,270,937.56/22,977.24
  6. Step 6: Final answer
    x = 24,644.86

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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.