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Finding the Fourth Proportional to 21,824.80, 32,737.94 and 6,031.02

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Solution

The fourth proportional to 21,824.80, 32,737.94 and 6,031.02 is: 9,046.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.80 : 32,737.94 = 6,031.02 : x
  2. Step 2: Convert to fraction form
    21,824.80/32,737.94 = 6,031.02/x
  3. Step 3: Cross multiply
    21,824.80x = 32,737.94 × 6,031.02
  4. Step 4: Simplify right side
    21,824.80x = 197,443,170.90
  5. Step 5: Solve for x
    x = 197,443,170.90/21,824.80
  6. Step 6: Final answer
    x = 9,046.73

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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.