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Finding the Fourth Proportional to 21,887.47, 32,811.76 and 8,033.23

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Solution

The fourth proportional to 21,887.47, 32,811.76 and 8,033.23 is: 12,042.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,887.47 : 32,811.76 = 8,033.23 : x
  2. Step 2: Convert to fraction form
    21,887.47/32,811.76 = 8,033.23/x
  3. Step 3: Cross multiply
    21,887.47x = 32,811.76 × 8,033.23
  4. Step 4: Simplify right side
    21,887.47x = 263,584,414.78
  5. Step 5: Solve for x
    x = 263,584,414.78/21,887.47
  6. Step 6: Final answer
    x = 12,042.71

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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.