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Finding the Fourth Proportional to 22,471.20, 33,716.52 and 9,326.52

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Solution

The fourth proportional to 22,471.20, 33,716.52 and 9,326.52 is: 13,993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.20 : 33,716.52 = 9,326.52 : x
  2. Step 2: Convert to fraction form
    22,471.20/33,716.52 = 9,326.52/x
  3. Step 3: Cross multiply
    22,471.20x = 33,716.52 × 9,326.52
  4. Step 4: Simplify right side
    22,471.20x = 314,457,798.11
  5. Step 5: Solve for x
    x = 314,457,798.11/22,471.20
  6. Step 6: Final answer
    x = 13,993.81

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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.