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Finding the Fourth Proportional to 13,589.32, 18,748.84 and 7,922.78

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Solution

The fourth proportional to 13,589.32, 18,748.84 and 7,922.78 is: 10,930.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.32 : 18,748.84 = 7,922.78 : x
  2. Step 2: Convert to fraction form
    13,589.32/18,748.84 = 7,922.78/x
  3. Step 3: Cross multiply
    13,589.32x = 18,748.84 × 7,922.78
  4. Step 4: Simplify right side
    13,589.32x = 148,542,934.58
  5. Step 5: Solve for x
    x = 148,542,934.58/13,589.32
  6. Step 6: Final answer
    x = 10,930.86

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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.