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Finding the Fourth Proportional to 27,889.65, 41,806.22 and 16,744.14

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Solution

The fourth proportional to 27,889.65, 41,806.22 and 16,744.14 is: 25,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,889.65 : 41,806.22 = 16,744.14 : x
  2. Step 2: Convert to fraction form
    27,889.65/41,806.22 = 16,744.14/x
  3. Step 3: Cross multiply
    27,889.65x = 41,806.22 × 16,744.14
  4. Step 4: Simplify right side
    27,889.65x = 700,009,116.83
  5. Step 5: Solve for x
    x = 700,009,116.83/27,889.65
  6. Step 6: Final answer
    x = 25,099.24

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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.