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Finding the Fourth Proportional to 17,806.80, 26,716.39 and 6,716.69

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Solution

The fourth proportional to 17,806.80, 26,716.39 and 6,716.69 is: 10,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.80 : 26,716.39 = 6,716.69 : x
  2. Step 2: Convert to fraction form
    17,806.80/26,716.39 = 6,716.69/x
  3. Step 3: Cross multiply
    17,806.80x = 26,716.39 × 6,716.69
  4. Step 4: Simplify right side
    17,806.80x = 179,445,559.18
  5. Step 5: Solve for x
    x = 179,445,559.18/17,806.80
  6. Step 6: Final answer
    x = 10,077.36

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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.