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Finding the Fourth Proportional to 41,412, 62,121.24 and 13,710

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Solution

The fourth proportional to 41,412, 62,121.24 and 13,710 is: 20,566.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,412 : 62,121.24 = 13,710 : x
  2. Step 2: Convert to fraction form
    41,412/62,121.24 = 13,710/x
  3. Step 3: Cross multiply
    41,412x = 62,121.24 × 13,710
  4. Step 4: Simplify right side
    41,412x = 851,682,200.40
  5. Step 5: Solve for x
    x = 851,682,200.40/41,412
  6. Step 6: Final answer
    x = 20,566.07

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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.