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Finding the Fourth Proportional to 22,686.60, 31,306.68 and 12,615.46

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Solution

The fourth proportional to 22,686.60, 31,306.68 and 12,615.46 is: 17,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.60 : 31,306.68 = 12,615.46 : x
  2. Step 2: Convert to fraction form
    22,686.60/31,306.68 = 12,615.46/x
  3. Step 3: Cross multiply
    22,686.60x = 31,306.68 × 12,615.46
  4. Step 4: Simplify right side
    22,686.60x = 394,948,169.27
  5. Step 5: Solve for x
    x = 394,948,169.27/22,686.60
  6. Step 6: Final answer
    x = 17,408.87

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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.