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Finding the Fourth Proportional to 13,552.11, 20,331.27 and 5,232.20

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Solution

The fourth proportional to 13,552.11, 20,331.27 and 5,232.20 is: 7,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552.11 : 20,331.27 = 5,232.20 : x
  2. Step 2: Convert to fraction form
    13,552.11/20,331.27 = 5,232.20/x
  3. Step 3: Cross multiply
    13,552.11x = 20,331.27 × 5,232.20
  4. Step 4: Simplify right side
    13,552.11x = 106,377,169.24
  5. Step 5: Solve for x
    x = 106,377,169.24/13,552.11
  6. Step 6: Final answer
    x = 7,849.49

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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.