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Finding the Fourth Proportional to 23,853.87, 35,780.81 and 9,059.31

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Solution

The fourth proportional to 23,853.87, 35,780.81 and 9,059.31 is: 13,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.87 : 35,780.81 = 9,059.31 : x
  2. Step 2: Convert to fraction form
    23,853.87/35,780.81 = 9,059.31/x
  3. Step 3: Cross multiply
    23,853.87x = 35,780.81 × 9,059.31
  4. Step 4: Simplify right side
    23,853.87x = 324,149,404.54
  5. Step 5: Solve for x
    x = 324,149,404.54/23,853.87
  6. Step 6: Final answer
    x = 13,588.97

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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.