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Finding the Fourth Proportional to 22,656.20, 33,945.92 and 13,872.76

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Solution

The fourth proportional to 22,656.20, 33,945.92 and 13,872.76 is: 20,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.20 : 33,945.92 = 13,872.76 : x
  2. Step 2: Convert to fraction form
    22,656.20/33,945.92 = 13,872.76/x
  3. Step 3: Cross multiply
    22,656.20x = 33,945.92 × 13,872.76
  4. Step 4: Simplify right side
    22,656.20x = 470,923,601.14
  5. Step 5: Solve for x
    x = 470,923,601.14/22,656.20
  6. Step 6: Final answer
    x = 20,785.64

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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.