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Finding the Fourth Proportional to 22,759.92, 31,408.82 and 12,689

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Solution

The fourth proportional to 22,759.92, 31,408.82 and 12,689 is: 17,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,759.92 : 31,408.82 = 12,689 : x
  2. Step 2: Convert to fraction form
    22,759.92/31,408.82 = 12,689/x
  3. Step 3: Cross multiply
    22,759.92x = 31,408.82 × 12,689
  4. Step 4: Simplify right side
    22,759.92x = 398,546,516.98
  5. Step 5: Solve for x
    x = 398,546,516.98/22,759.92
  6. Step 6: Final answer
    x = 17,510.89

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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.