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Finding the Fourth Proportional to 21,896.84, 32,825.82 and 16,343.48

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Solution

The fourth proportional to 21,896.84, 32,825.82 and 16,343.48 is: 24,500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,896.84 : 32,825.82 = 16,343.48 : x
  2. Step 2: Convert to fraction form
    21,896.84/32,825.82 = 16,343.48/x
  3. Step 3: Cross multiply
    21,896.84x = 32,825.82 × 16,343.48
  4. Step 4: Simplify right side
    21,896.84x = 536,488,132.65
  5. Step 5: Solve for x
    x = 536,488,132.65/21,896.84
  6. Step 6: Final answer
    x = 24,500.71

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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.