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Finding the Fourth Proportional to 27,816.21, 41,723.71 and 7,039.71

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Solution

The fourth proportional to 27,816.21, 41,723.71 and 7,039.71 is: 10,559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,816.21 : 41,723.71 = 7,039.71 : x
  2. Step 2: Convert to fraction form
    27,816.21/41,723.71 = 7,039.71/x
  3. Step 3: Cross multiply
    27,816.21x = 41,723.71 × 7,039.71
  4. Step 4: Simplify right side
    27,816.21x = 293,722,800.92
  5. Step 5: Solve for x
    x = 293,722,800.92/27,816.21
  6. Step 6: Final answer
    x = 10,559.41

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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.