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Finding the Fourth Proportional to 14,249, 21,375.21 and 5,934.65

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Solution

The fourth proportional to 14,249, 21,375.21 and 5,934.65 is: 8,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249 : 21,375.21 = 5,934.65 : x
  2. Step 2: Convert to fraction form
    14,249/21,375.21 = 5,934.65/x
  3. Step 3: Cross multiply
    14,249x = 21,375.21 × 5,934.65
  4. Step 4: Simplify right side
    14,249x = 126,854,390.03
  5. Step 5: Solve for x
    x = 126,854,390.03/14,249
  6. Step 6: Final answer
    x = 8,902.69

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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.