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Finding the Fourth Proportional to 13,251.92, 19,842.37 and 6,998.99

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Solution

The fourth proportional to 13,251.92, 19,842.37 and 6,998.99 is: 10,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.92 : 19,842.37 = 6,998.99 : x
  2. Step 2: Convert to fraction form
    13,251.92/19,842.37 = 6,998.99/x
  3. Step 3: Cross multiply
    13,251.92x = 19,842.37 × 6,998.99
  4. Step 4: Simplify right side
    13,251.92x = 138,876,432.50
  5. Step 5: Solve for x
    x = 138,876,432.50/13,251.92
  6. Step 6: Final answer
    x = 10,479.73

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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.