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Finding the Fourth Proportional to 17,984.50, 26,976.78 and 6,742.37

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Solution

The fourth proportional to 17,984.50, 26,976.78 and 6,742.37 is: 10,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,984.50 : 26,976.78 = 6,742.37 : x
  2. Step 2: Convert to fraction form
    17,984.50/26,976.78 = 6,742.37/x
  3. Step 3: Cross multiply
    17,984.50x = 26,976.78 × 6,742.37
  4. Step 4: Simplify right side
    17,984.50x = 181,887,499.61
  5. Step 5: Solve for x
    x = 181,887,499.61/17,984.50
  6. Step 6: Final answer
    x = 10,113.57

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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.