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Finding the Fourth Proportional to 39,891.92, 59,846.63 and 11,814.16

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Solution

The fourth proportional to 39,891.92, 59,846.63 and 11,814.16 is: 17,723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,891.92 : 59,846.63 = 11,814.16 : x
  2. Step 2: Convert to fraction form
    39,891.92/59,846.63 = 11,814.16/x
  3. Step 3: Cross multiply
    39,891.92x = 59,846.63 × 11,814.16
  4. Step 4: Simplify right side
    39,891.92x = 707,037,662.28
  5. Step 5: Solve for x
    x = 707,037,662.28/39,891.92
  6. Step 6: Final answer
    x = 17,723.83

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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.