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Finding the Fourth Proportional to 21,374.50, 32,061.36 and 8,229.72

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Solution

The fourth proportional to 21,374.50, 32,061.36 and 8,229.72 is: 12,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,374.50 : 32,061.36 = 8,229.72 : x
  2. Step 2: Convert to fraction form
    21,374.50/32,061.36 = 8,229.72/x
  3. Step 3: Cross multiply
    21,374.50x = 32,061.36 × 8,229.72
  4. Step 4: Simplify right side
    21,374.50x = 263,856,015.62
  5. Step 5: Solve for x
    x = 263,856,015.62/21,374.50
  6. Step 6: Final answer
    x = 12,344.43

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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.