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Finding the Fourth Proportional to 21,375.36, 32,062.68 and 7,524

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Solution

The fourth proportional to 21,375.36, 32,062.68 and 7,524 is: 11,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,375.36 : 32,062.68 = 7,524 : x
  2. Step 2: Convert to fraction form
    21,375.36/32,062.68 = 7,524/x
  3. Step 3: Cross multiply
    21,375.36x = 32,062.68 × 7,524
  4. Step 4: Simplify right side
    21,375.36x = 241,239,604.32
  5. Step 5: Solve for x
    x = 241,239,604.32/21,375.36
  6. Step 6: Final answer
    x = 11,285.87

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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.