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Finding the Fourth Proportional to 41,418.08, 62,122.80 and 11,834

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Solution

The fourth proportional to 41,418.08, 62,122.80 and 11,834 is: 17,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,418.08 : 62,122.80 = 11,834 : x
  2. Step 2: Convert to fraction form
    41,418.08/62,122.80 = 11,834/x
  3. Step 3: Cross multiply
    41,418.08x = 62,122.80 × 11,834
  4. Step 4: Simplify right side
    41,418.08x = 735,161,215.20
  5. Step 5: Solve for x
    x = 735,161,215.20/41,418.08
  6. Step 6: Final answer
    x = 17,749.77

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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.