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Finding the Fourth Proportional to 14,351.52, 21,524.80 and 3,821.68

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Solution

The fourth proportional to 14,351.52, 21,524.80 and 3,821.68 is: 5,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,351.52 : 21,524.80 = 3,821.68 : x
  2. Step 2: Convert to fraction form
    14,351.52/21,524.80 = 3,821.68/x
  3. Step 3: Cross multiply
    14,351.52x = 21,524.80 × 3,821.68
  4. Step 4: Simplify right side
    14,351.52x = 82,260,897.66
  5. Step 5: Solve for x
    x = 82,260,897.66/14,351.52
  6. Step 6: Final answer
    x = 5,731.86

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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.