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Finding the Fourth Proportional to 15,949.69, 23,926.49 and 5,421.44

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Solution

The fourth proportional to 15,949.69, 23,926.49 and 5,421.44 is: 8,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,949.69 : 23,926.49 = 5,421.44 : x
  2. Step 2: Convert to fraction form
    15,949.69/23,926.49 = 5,421.44/x
  3. Step 3: Cross multiply
    15,949.69x = 23,926.49 × 5,421.44
  4. Step 4: Simplify right side
    15,949.69x = 129,716,062.65
  5. Step 5: Solve for x
    x = 129,716,062.65/15,949.69
  6. Step 6: Final answer
    x = 8,132.83

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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.