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Finding the Fourth Proportional to 21,452.34, 32,180.74 and 5,869.97

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Solution

The fourth proportional to 21,452.34, 32,180.74 and 5,869.97 is: 8,805.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,452.34 : 32,180.74 = 5,869.97 : x
  2. Step 2: Convert to fraction form
    21,452.34/32,180.74 = 5,869.97/x
  3. Step 3: Cross multiply
    21,452.34x = 32,180.74 × 5,869.97
  4. Step 4: Simplify right side
    21,452.34x = 188,899,956.50
  5. Step 5: Solve for x
    x = 188,899,956.50/21,452.34
  6. Step 6: Final answer
    x = 8,805.56

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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.