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Finding the Fourth Proportional to 25,914.30, 38,871.45 and 8,396.34

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Solution

The fourth proportional to 25,914.30, 38,871.45 and 8,396.34 is: 12,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,914.30 : 38,871.45 = 8,396.34 : x
  2. Step 2: Convert to fraction form
    25,914.30/38,871.45 = 8,396.34/x
  3. Step 3: Cross multiply
    25,914.30x = 38,871.45 × 8,396.34
  4. Step 4: Simplify right side
    25,914.30x = 326,377,910.49
  5. Step 5: Solve for x
    x = 326,377,910.49/25,914.30
  6. Step 6: Final answer
    x = 12,594.51

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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.