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Finding the Fourth Proportional to 12,098.26, 16,650.14 and 10,234.30

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Solution

The fourth proportional to 12,098.26, 16,650.14 and 10,234.30 is: 14,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.26 : 16,650.14 = 10,234.30 : x
  2. Step 2: Convert to fraction form
    12,098.26/16,650.14 = 10,234.30/x
  3. Step 3: Cross multiply
    12,098.26x = 16,650.14 × 10,234.30
  4. Step 4: Simplify right side
    12,098.26x = 170,402,393.38
  5. Step 5: Solve for x
    x = 170,402,393.38/12,098.26
  6. Step 6: Final answer
    x = 14,084.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.