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Finding the Fourth Proportional to 22,578.80, 33,877.10 and 16,346.66

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Solution

The fourth proportional to 22,578.80, 33,877.10 and 16,346.66 is: 24,526.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.80 : 33,877.10 = 16,346.66 : x
  2. Step 2: Convert to fraction form
    22,578.80/33,877.10 = 16,346.66/x
  3. Step 3: Cross multiply
    22,578.80x = 33,877.10 × 16,346.66
  4. Step 4: Simplify right side
    22,578.80x = 553,777,306.97
  5. Step 5: Solve for x
    x = 553,777,306.97/22,578.80
  6. Step 6: Final answer
    x = 24,526.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.