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Finding the Fourth Proportional to 22,168.76, 33,224.26 and 9,005.75

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Solution

The fourth proportional to 22,168.76, 33,224.26 and 9,005.75 is: 13,496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,168.76 : 33,224.26 = 9,005.75 : x
  2. Step 2: Convert to fraction form
    22,168.76/33,224.26 = 9,005.75/x
  3. Step 3: Cross multiply
    22,168.76x = 33,224.26 × 9,005.75
  4. Step 4: Simplify right side
    22,168.76x = 299,209,379.50
  5. Step 5: Solve for x
    x = 299,209,379.50/22,168.76
  6. Step 6: Final answer
    x = 13,496.89

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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.