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Finding the Fourth Proportional to 38,321.56, 57,491 and 11,669.94

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Solution

The fourth proportional to 38,321.56, 57,491 and 11,669.94 is: 17,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,321.56 : 57,491 = 11,669.94 : x
  2. Step 2: Convert to fraction form
    38,321.56/57,491 = 11,669.94/x
  3. Step 3: Cross multiply
    38,321.56x = 57,491 × 11,669.94
  4. Step 4: Simplify right side
    38,321.56x = 670,916,520.54
  5. Step 5: Solve for x
    x = 670,916,520.54/38,321.56
  6. Step 6: Final answer
    x = 17,507.55

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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.