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Finding the Fourth Proportional to 25,694.16, 38,517.85 and 9,889.10

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Solution

The fourth proportional to 25,694.16, 38,517.85 and 9,889.10 is: 14,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,694.16 : 38,517.85 = 9,889.10 : x
  2. Step 2: Convert to fraction form
    25,694.16/38,517.85 = 9,889.10/x
  3. Step 3: Cross multiply
    25,694.16x = 38,517.85 × 9,889.10
  4. Step 4: Simplify right side
    25,694.16x = 380,906,870.44
  5. Step 5: Solve for x
    x = 380,906,870.44/25,694.16
  6. Step 6: Final answer
    x = 14,824.65

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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.