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Finding the Fourth Proportional to 22,357.29, 33,535.20 and 9,199.74

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Solution

The fourth proportional to 22,357.29, 33,535.20 and 9,199.74 is: 13,799.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.29 : 33,535.20 = 9,199.74 : x
  2. Step 2: Convert to fraction form
    22,357.29/33,535.20 = 9,199.74/x
  3. Step 3: Cross multiply
    22,357.29x = 33,535.20 × 9,199.74
  4. Step 4: Simplify right side
    22,357.29x = 308,515,120.85
  5. Step 5: Solve for x
    x = 308,515,120.85/22,357.29
  6. Step 6: Final answer
    x = 13,799.31

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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.