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Finding the Fourth Proportional to 25,685.24, 38,522.99 and 8,155.22

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Solution

The fourth proportional to 25,685.24, 38,522.99 and 8,155.22 is: 12,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,685.24 : 38,522.99 = 8,155.22 : x
  2. Step 2: Convert to fraction form
    25,685.24/38,522.99 = 8,155.22/x
  3. Step 3: Cross multiply
    25,685.24x = 38,522.99 × 8,155.22
  4. Step 4: Simplify right side
    25,685.24x = 314,163,286.28
  5. Step 5: Solve for x
    x = 314,163,286.28/25,685.24
  6. Step 6: Final answer
    x = 12,231.28

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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.