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Finding the Fourth Proportional to 41,396, 62,099.84 and 13,306.64

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Solution

The fourth proportional to 41,396, 62,099.84 and 13,306.64 is: 19,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,396 : 62,099.84 = 13,306.64 : x
  2. Step 2: Convert to fraction form
    41,396/62,099.84 = 13,306.64/x
  3. Step 3: Cross multiply
    41,396x = 62,099.84 × 13,306.64
  4. Step 4: Simplify right side
    41,396x = 826,340,214.94
  5. Step 5: Solve for x
    x = 826,340,214.94/41,396
  6. Step 6: Final answer
    x = 19,961.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.