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Finding the Fourth Proportional to 38,469.78, 57,713.04 and 12,174.75

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Solution

The fourth proportional to 38,469.78, 57,713.04 and 12,174.75 is: 18,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,469.78 : 57,713.04 = 12,174.75 : x
  2. Step 2: Convert to fraction form
    38,469.78/57,713.04 = 12,174.75/x
  3. Step 3: Cross multiply
    38,469.78x = 57,713.04 × 12,174.75
  4. Step 4: Simplify right side
    38,469.78x = 702,641,833.74
  5. Step 5: Solve for x
    x = 702,641,833.74/38,469.78
  6. Step 6: Final answer
    x = 18,264.77

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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.