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Finding the Fourth Proportional to 17,294.38, 25,932.85 and 7,926.50

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Solution

The fourth proportional to 17,294.38, 25,932.85 and 7,926.50 is: 11,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,294.38 : 25,932.85 = 7,926.50 : x
  2. Step 2: Convert to fraction form
    17,294.38/25,932.85 = 7,926.50/x
  3. Step 3: Cross multiply
    17,294.38x = 25,932.85 × 7,926.50
  4. Step 4: Simplify right side
    17,294.38x = 205,556,695.89
  5. Step 5: Solve for x
    x = 205,556,695.89/17,294.38
  6. Step 6: Final answer
    x = 11,885.75

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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.