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Finding the Fourth Proportional to 21,882.48, 32,745.96 and 16,024.56

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Solution

The fourth proportional to 21,882.48, 32,745.96 and 16,024.56 is: 23,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882.48 : 32,745.96 = 16,024.56 : x
  2. Step 2: Convert to fraction form
    21,882.48/32,745.96 = 16,024.56/x
  3. Step 3: Cross multiply
    21,882.48x = 32,745.96 × 16,024.56
  4. Step 4: Simplify right side
    21,882.48x = 524,739,600.78
  5. Step 5: Solve for x
    x = 524,739,600.78/21,882.48
  6. Step 6: Final answer
    x = 23,979.90

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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.