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Finding the Fourth Proportional to 22,161.85, 33,233.04 and 8,301.13

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Solution

The fourth proportional to 22,161.85, 33,233.04 and 8,301.13 is: 12,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,161.85 : 33,233.04 = 8,301.13 : x
  2. Step 2: Convert to fraction form
    22,161.85/33,233.04 = 8,301.13/x
  3. Step 3: Cross multiply
    22,161.85x = 33,233.04 × 8,301.13
  4. Step 4: Simplify right side
    22,161.85x = 275,871,619.17
  5. Step 5: Solve for x
    x = 275,871,619.17/22,161.85
  6. Step 6: Final answer
    x = 12,448.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.