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Finding the Fourth Proportional to 22,359.98, 33,544.81 and 6,778.78

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Solution

The fourth proportional to 22,359.98, 33,544.81 and 6,778.78 is: 10,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,359.98 : 33,544.81 = 6,778.78 : x
  2. Step 2: Convert to fraction form
    22,359.98/33,544.81 = 6,778.78/x
  3. Step 3: Cross multiply
    22,359.98x = 33,544.81 × 6,778.78
  4. Step 4: Simplify right side
    22,359.98x = 227,392,887.13
  5. Step 5: Solve for x
    x = 227,392,887.13/22,359.98
  6. Step 6: Final answer
    x = 10,169.64

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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.