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Finding the Fourth Proportional to 22,102.96, 33,154.44 and 8,253.04

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Solution

The fourth proportional to 22,102.96, 33,154.44 and 8,253.04 is: 12,379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.96 : 33,154.44 = 8,253.04 : x
  2. Step 2: Convert to fraction form
    22,102.96/33,154.44 = 8,253.04/x
  3. Step 3: Cross multiply
    22,102.96x = 33,154.44 × 8,253.04
  4. Step 4: Simplify right side
    22,102.96x = 273,624,919.50
  5. Step 5: Solve for x
    x = 273,624,919.50/22,102.96
  6. Step 6: Final answer
    x = 12,379.56

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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.