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Finding the Fourth Proportional to 27,471.60, 41,210.41 and 8,747.24

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Solution

The fourth proportional to 27,471.60, 41,210.41 and 8,747.24 is: 13,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.60 : 41,210.41 = 8,747.24 : x
  2. Step 2: Convert to fraction form
    27,471.60/41,210.41 = 8,747.24/x
  3. Step 3: Cross multiply
    27,471.60x = 41,210.41 × 8,747.24
  4. Step 4: Simplify right side
    27,471.60x = 360,477,140.72
  5. Step 5: Solve for x
    x = 360,477,140.72/27,471.60
  6. Step 6: Final answer
    x = 13,121.81

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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.