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Finding the Fourth Proportional to 21,253.50, 31,866.58 and 8,098.69

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Solution

The fourth proportional to 21,253.50, 31,866.58 and 8,098.69 is: 12,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253.50 : 31,866.58 = 8,098.69 : x
  2. Step 2: Convert to fraction form
    21,253.50/31,866.58 = 8,098.69/x
  3. Step 3: Cross multiply
    21,253.50x = 31,866.58 × 8,098.69
  4. Step 4: Simplify right side
    21,253.50x = 258,077,552.78
  5. Step 5: Solve for x
    x = 258,077,552.78/21,253.50
  6. Step 6: Final answer
    x = 12,142.83

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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.