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Finding the Fourth Proportional to 22,684.96, 31,306.98 and 12,614.23

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Solution

The fourth proportional to 22,684.96, 31,306.98 and 12,614.23 is: 17,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.96 : 31,306.98 = 12,614.23 : x
  2. Step 2: Convert to fraction form
    22,684.96/31,306.98 = 12,614.23/x
  3. Step 3: Cross multiply
    22,684.96x = 31,306.98 × 12,614.23
  4. Step 4: Simplify right side
    22,684.96x = 394,913,446.33
  5. Step 5: Solve for x
    x = 394,913,446.33/22,684.96
  6. Step 6: Final answer
    x = 17,408.60

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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.