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Finding the Fourth Proportional to 22,202.50, 33,308.99 and 7,209.57

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Solution

The fourth proportional to 22,202.50, 33,308.99 and 7,209.57 is: 10,816.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.50 : 33,308.99 = 7,209.57 : x
  2. Step 2: Convert to fraction form
    22,202.50/33,308.99 = 7,209.57/x
  3. Step 3: Cross multiply
    22,202.50x = 33,308.99 × 7,209.57
  4. Step 4: Simplify right side
    22,202.50x = 240,143,507.11
  5. Step 5: Solve for x
    x = 240,143,507.11/22,202.50
  6. Step 6: Final answer
    x = 10,816.06

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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.