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Finding the Fourth Proportional to 22,035, 33,052.68 and 8,184

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Solution

The fourth proportional to 22,035, 33,052.68 and 8,184 is: 12,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,035 : 33,052.68 = 8,184 : x
  2. Step 2: Convert to fraction form
    22,035/33,052.68 = 8,184/x
  3. Step 3: Cross multiply
    22,035x = 33,052.68 × 8,184
  4. Step 4: Simplify right side
    22,035x = 270,503,133.12
  5. Step 5: Solve for x
    x = 270,503,133.12/22,035
  6. Step 6: Final answer
    x = 12,276.07

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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.