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Finding the Fourth Proportional to 25,889.58, 38,832.24 and 7,169.88

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Solution

The fourth proportional to 25,889.58, 38,832.24 and 7,169.88 is: 10,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,889.58 : 38,832.24 = 7,169.88 : x
  2. Step 2: Convert to fraction form
    25,889.58/38,832.24 = 7,169.88/x
  3. Step 3: Cross multiply
    25,889.58x = 38,832.24 × 7,169.88
  4. Step 4: Simplify right side
    25,889.58x = 278,422,500.93
  5. Step 5: Solve for x
    x = 278,422,500.93/25,889.58
  6. Step 6: Final answer
    x = 10,754.23

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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.