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Finding the Fourth Proportional to 22,757.68, 31,408.16 and 12,687.04

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Solution

The fourth proportional to 22,757.68, 31,408.16 and 12,687.04 is: 17,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.68 : 31,408.16 = 12,687.04 : x
  2. Step 2: Convert to fraction form
    22,757.68/31,408.16 = 12,687.04/x
  3. Step 3: Cross multiply
    22,757.68x = 31,408.16 × 12,687.04
  4. Step 4: Simplify right side
    22,757.68x = 398,476,582.25
  5. Step 5: Solve for x
    x = 398,476,582.25/22,757.68
  6. Step 6: Final answer
    x = 17,509.54

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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.