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Finding the Fourth Proportional to 41,508, 62,262.54 and 13,806

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Solution

The fourth proportional to 41,508, 62,262.54 and 13,806 is: 20,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,508 : 62,262.54 = 13,806 : x
  2. Step 2: Convert to fraction form
    41,508/62,262.54 = 13,806/x
  3. Step 3: Cross multiply
    41,508x = 62,262.54 × 13,806
  4. Step 4: Simplify right side
    41,508x = 859,596,627.24
  5. Step 5: Solve for x
    x = 859,596,627.24/41,508
  6. Step 6: Final answer
    x = 20,709.18

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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.