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Finding the Fourth Proportional to 21,514.50, 32,271.50 and 15,163.29

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Solution

The fourth proportional to 21,514.50, 32,271.50 and 15,163.29 is: 22,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514.50 : 32,271.50 = 15,163.29 : x
  2. Step 2: Convert to fraction form
    21,514.50/32,271.50 = 15,163.29/x
  3. Step 3: Cross multiply
    21,514.50x = 32,271.50 × 15,163.29
  4. Step 4: Simplify right side
    21,514.50x = 489,342,151.14
  5. Step 5: Solve for x
    x = 489,342,151.14/21,514.50
  6. Step 6: Final answer
    x = 22,744.76

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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.