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Finding the Fourth Proportional to 38,589, 57,883.36 and 12,295.86

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Solution

The fourth proportional to 38,589, 57,883.36 and 12,295.86 is: 18,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,589 : 57,883.36 = 12,295.86 : x
  2. Step 2: Convert to fraction form
    38,589/57,883.36 = 12,295.86/x
  3. Step 3: Cross multiply
    38,589x = 57,883.36 × 12,295.86
  4. Step 4: Simplify right side
    38,589x = 711,725,690.89
  5. Step 5: Solve for x
    x = 711,725,690.89/38,589
  6. Step 6: Final answer
    x = 18,443.75

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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.