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Finding the Fourth Proportional to 38,564.10, 57,843.72 and 12,287.70

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Solution

The fourth proportional to 38,564.10, 57,843.72 and 12,287.70 is: 18,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,564.10 : 57,843.72 = 12,287.70 : x
  2. Step 2: Convert to fraction form
    38,564.10/57,843.72 = 12,287.70/x
  3. Step 3: Cross multiply
    38,564.10x = 57,843.72 × 12,287.70
  4. Step 4: Simplify right side
    38,564.10x = 710,766,278.24
  5. Step 5: Solve for x
    x = 710,766,278.24/38,564.10
  6. Step 6: Final answer
    x = 18,430.78

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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.