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Finding the Fourth Proportional to 25,705.35, 38,560.86 and 8,171.08

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Solution

The fourth proportional to 25,705.35, 38,560.86 and 8,171.08 is: 12,257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,705.35 : 38,560.86 = 8,171.08 : x
  2. Step 2: Convert to fraction form
    25,705.35/38,560.86 = 8,171.08/x
  3. Step 3: Cross multiply
    25,705.35x = 38,560.86 × 8,171.08
  4. Step 4: Simplify right side
    25,705.35x = 315,083,775.53
  5. Step 5: Solve for x
    x = 315,083,775.53/25,705.35
  6. Step 6: Final answer
    x = 12,257.52

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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.