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Finding the Fourth Proportional to 21,997.80, 32,951.90 and 13,652.20

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Solution

The fourth proportional to 21,997.80, 32,951.90 and 13,652.20 is: 20,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,997.80 : 32,951.90 = 13,652.20 : x
  2. Step 2: Convert to fraction form
    21,997.80/32,951.90 = 13,652.20/x
  3. Step 3: Cross multiply
    21,997.80x = 32,951.90 × 13,652.20
  4. Step 4: Simplify right side
    21,997.80x = 449,865,929.18
  5. Step 5: Solve for x
    x = 449,865,929.18/21,997.80
  6. Step 6: Final answer
    x = 20,450.50

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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.