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Finding the Fourth Proportional to 14,163.65, 21,229.87 and 5,839.10

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Solution

The fourth proportional to 14,163.65, 21,229.87 and 5,839.10 is: 8,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,163.65 : 21,229.87 = 5,839.10 : x
  2. Step 2: Convert to fraction form
    14,163.65/21,229.87 = 5,839.10/x
  3. Step 3: Cross multiply
    14,163.65x = 21,229.87 × 5,839.10
  4. Step 4: Simplify right side
    14,163.65x = 123,963,242.37
  5. Step 5: Solve for x
    x = 123,963,242.37/14,163.65
  6. Step 6: Final answer
    x = 8,752.21

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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.