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Finding the Fourth Proportional to 25,909.70, 38,872.44 and 13,438.64

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Solution

The fourth proportional to 25,909.70, 38,872.44 and 13,438.64 is: 20,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,909.70 : 38,872.44 = 13,438.64 : x
  2. Step 2: Convert to fraction form
    25,909.70/38,872.44 = 13,438.64/x
  3. Step 3: Cross multiply
    25,909.70x = 38,872.44 × 13,438.64
  4. Step 4: Simplify right side
    25,909.70x = 522,392,824.26
  5. Step 5: Solve for x
    x = 522,392,824.26/25,909.70
  6. Step 6: Final answer
    x = 20,162.06

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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.