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Finding the Fourth Proportional to 22,385.49, 33,574.11 and 9,057.75

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Solution

The fourth proportional to 22,385.49, 33,574.11 and 9,057.75 is: 13,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,385.49 : 33,574.11 = 9,057.75 : x
  2. Step 2: Convert to fraction form
    22,385.49/33,574.11 = 9,057.75/x
  3. Step 3: Cross multiply
    22,385.49x = 33,574.11 × 9,057.75
  4. Step 4: Simplify right side
    22,385.49x = 304,105,894.85
  5. Step 5: Solve for x
    x = 304,105,894.85/22,385.49
  6. Step 6: Final answer
    x = 13,584.96

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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.