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Finding the Fourth Proportional to 22,689, 31,310.82 and 13,265.48

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Solution

The fourth proportional to 22,689, 31,310.82 and 13,265.48 is: 18,306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,689 : 31,310.82 = 13,265.48 : x
  2. Step 2: Convert to fraction form
    22,689/31,310.82 = 13,265.48/x
  3. Step 3: Cross multiply
    22,689x = 31,310.82 × 13,265.48
  4. Step 4: Simplify right side
    22,689x = 415,353,056.49
  5. Step 5: Solve for x
    x = 415,353,056.49/22,689
  6. Step 6: Final answer
    x = 18,306.36

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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.