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Finding the Fourth Proportional to 22,174.50, 33,263.16 and 9,019.68

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Solution

The fourth proportional to 22,174.50, 33,263.16 and 9,019.68 is: 13,530.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,174.50 : 33,263.16 = 9,019.68 : x
  2. Step 2: Convert to fraction form
    22,174.50/33,263.16 = 9,019.68/x
  3. Step 3: Cross multiply
    22,174.50x = 33,263.16 × 9,019.68
  4. Step 4: Simplify right side
    22,174.50x = 300,023,058.99
  5. Step 5: Solve for x
    x = 300,023,058.99/22,174.50
  6. Step 6: Final answer
    x = 13,530.09

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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.