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Finding the Fourth Proportional to 22,034.42, 33,052.23 and 6,452.04

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Solution

The fourth proportional to 22,034.42, 33,052.23 and 6,452.04 is: 9,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034.42 : 33,052.23 = 6,452.04 : x
  2. Step 2: Convert to fraction form
    22,034.42/33,052.23 = 6,452.04/x
  3. Step 3: Cross multiply
    22,034.42x = 33,052.23 × 6,452.04
  4. Step 4: Simplify right side
    22,034.42x = 213,254,310.05
  5. Step 5: Solve for x
    x = 213,254,310.05/22,034.42
  6. Step 6: Final answer
    x = 9,678.24

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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.