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Finding the Fourth Proportional to 21,882.70, 32,823.82 and 14,845.30

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Solution

The fourth proportional to 21,882.70, 32,823.82 and 14,845.30 is: 22,267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882.70 : 32,823.82 = 14,845.30 : x
  2. Step 2: Convert to fraction form
    21,882.70/32,823.82 = 14,845.30/x
  3. Step 3: Cross multiply
    21,882.70x = 32,823.82 × 14,845.30
  4. Step 4: Simplify right side
    21,882.70x = 487,279,455.05
  5. Step 5: Solve for x
    x = 487,279,455.05/21,882.70
  6. Step 6: Final answer
    x = 22,267.79

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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.