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Finding the Fourth Proportional to 25,787.70, 38,687.22 and 8,257.50

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Solution

The fourth proportional to 25,787.70, 38,687.22 and 8,257.50 is: 12,388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,787.70 : 38,687.22 = 8,257.50 : x
  2. Step 2: Convert to fraction form
    25,787.70/38,687.22 = 8,257.50/x
  3. Step 3: Cross multiply
    25,787.70x = 38,687.22 × 8,257.50
  4. Step 4: Simplify right side
    25,787.70x = 319,459,719.15
  5. Step 5: Solve for x
    x = 319,459,719.15/25,787.70
  6. Step 6: Final answer
    x = 12,388.07

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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.