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Finding the Fourth Proportional to 25,926.56, 38,897.96 and 9,286.28

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Solution

The fourth proportional to 25,926.56, 38,897.96 and 9,286.28 is: 13,932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,926.56 : 38,897.96 = 9,286.28 : x
  2. Step 2: Convert to fraction form
    25,926.56/38,897.96 = 9,286.28/x
  3. Step 3: Cross multiply
    25,926.56x = 38,897.96 × 9,286.28
  4. Step 4: Simplify right side
    25,926.56x = 361,217,347.99
  5. Step 5: Solve for x
    x = 361,217,347.99/25,926.56
  6. Step 6: Final answer
    x = 13,932.33

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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.