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Finding the Fourth Proportional to 27,984.69, 41,978.88 and 11,344.37

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Solution

The fourth proportional to 27,984.69, 41,978.88 and 11,344.37 is: 17,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,984.69 : 41,978.88 = 11,344.37 : x
  2. Step 2: Convert to fraction form
    27,984.69/41,978.88 = 11,344.37/x
  3. Step 3: Cross multiply
    27,984.69x = 41,978.88 × 11,344.37
  4. Step 4: Simplify right side
    27,984.69x = 476,223,737.01
  5. Step 5: Solve for x
    x = 476,223,737.01/27,984.69
  6. Step 6: Final answer
    x = 17,017.30

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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.