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Finding the Fourth Proportional to 16,192.56, 24,292.92 and 5,098.80

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Solution

The fourth proportional to 16,192.56, 24,292.92 and 5,098.80 is: 7,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,192.56 : 24,292.92 = 5,098.80 : x
  2. Step 2: Convert to fraction form
    16,192.56/24,292.92 = 5,098.80/x
  3. Step 3: Cross multiply
    16,192.56x = 24,292.92 × 5,098.80
  4. Step 4: Simplify right side
    16,192.56x = 123,864,740.50
  5. Step 5: Solve for x
    x = 123,864,740.50/16,192.56
  6. Step 6: Final answer
    x = 7,649.48

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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.