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Finding the Fourth Proportional to 22,186.54, 33,267.30 and 9,023.50

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Solution

The fourth proportional to 22,186.54, 33,267.30 and 9,023.50 is: 13,530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,186.54 : 33,267.30 = 9,023.50 : x
  2. Step 2: Convert to fraction form
    22,186.54/33,267.30 = 9,023.50/x
  3. Step 3: Cross multiply
    22,186.54x = 33,267.30 × 9,023.50
  4. Step 4: Simplify right side
    22,186.54x = 300,187,481.55
  5. Step 5: Solve for x
    x = 300,187,481.55/22,186.54
  6. Step 6: Final answer
    x = 13,530.16

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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.