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Finding the Fourth Proportional to 25,926.68, 38,898.23 and 9,286.31

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Solution

The fourth proportional to 25,926.68, 38,898.23 and 9,286.31 is: 13,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,926.68 : 38,898.23 = 9,286.31 : x
  2. Step 2: Convert to fraction form
    25,926.68/38,898.23 = 9,286.31/x
  3. Step 3: Cross multiply
    25,926.68x = 38,898.23 × 9,286.31
  4. Step 4: Simplify right side
    25,926.68x = 361,221,073.05
  5. Step 5: Solve for x
    x = 361,221,073.05/25,926.68
  6. Step 6: Final answer
    x = 13,932.41

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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.