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Finding the Fourth Proportional to 38,491.40, 57,738.72 and 12,195.56

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Solution

The fourth proportional to 38,491.40, 57,738.72 and 12,195.56 is: 18,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,491.40 : 57,738.72 = 12,195.56 : x
  2. Step 2: Convert to fraction form
    38,491.40/57,738.72 = 12,195.56/x
  3. Step 3: Cross multiply
    38,491.40x = 57,738.72 × 12,195.56
  4. Step 4: Simplify right side
    38,491.40x = 704,156,024.08
  5. Step 5: Solve for x
    x = 704,156,024.08/38,491.40
  6. Step 6: Final answer
    x = 18,293.85

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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.