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Finding the Fourth Proportional to 18,672.20, 25,770.38 and 12,297.77

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Solution

The fourth proportional to 18,672.20, 25,770.38 and 12,297.77 is: 16,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,672.20 : 25,770.38 = 12,297.77 : x
  2. Step 2: Convert to fraction form
    18,672.20/25,770.38 = 12,297.77/x
  3. Step 3: Cross multiply
    18,672.20x = 25,770.38 × 12,297.77
  4. Step 4: Simplify right side
    18,672.20x = 316,918,291.90
  5. Step 5: Solve for x
    x = 316,918,291.90/18,672.20
  6. Step 6: Final answer
    x = 16,972.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.