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Finding the Fourth Proportional to 10,926.39, 16,396.07 and 10,234.52

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Solution

The fourth proportional to 10,926.39, 16,396.07 and 10,234.52 is: 15,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,926.39 : 16,396.07 = 10,234.52 : x
  2. Step 2: Convert to fraction form
    10,926.39/16,396.07 = 10,234.52/x
  3. Step 3: Cross multiply
    10,926.39x = 16,396.07 × 10,234.52
  4. Step 4: Simplify right side
    10,926.39x = 167,805,972.91
  5. Step 5: Solve for x
    x = 167,805,972.91/10,926.39
  6. Step 6: Final answer
    x = 15,357.86

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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.