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Finding the Fourth Proportional to 25,908.12, 38,862.59 and 8,138.21

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Solution

The fourth proportional to 25,908.12, 38,862.59 and 8,138.21 is: 12,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,908.12 : 38,862.59 = 8,138.21 : x
  2. Step 2: Convert to fraction form
    25,908.12/38,862.59 = 8,138.21/x
  3. Step 3: Cross multiply
    25,908.12x = 38,862.59 × 8,138.21
  4. Step 4: Simplify right side
    25,908.12x = 316,271,683.56
  5. Step 5: Solve for x
    x = 316,271,683.56/25,908.12
  6. Step 6: Final answer
    x = 12,207.43

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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.