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Finding the Fourth Proportional to 27,612, 41,418.96 and 9,143.52

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Solution

The fourth proportional to 27,612, 41,418.96 and 9,143.52 is: 13,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,612 : 41,418.96 = 9,143.52 : x
  2. Step 2: Convert to fraction form
    27,612/41,418.96 = 9,143.52/x
  3. Step 3: Cross multiply
    27,612x = 41,418.96 × 9,143.52
  4. Step 4: Simplify right side
    27,612x = 378,715,089.14
  5. Step 5: Solve for x
    x = 378,715,089.14/27,612
  6. Step 6: Final answer
    x = 13,715.60

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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.