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Finding the Fourth Proportional to 17,977.88, 26,965.82 and 6,883.71

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Solution

The fourth proportional to 17,977.88, 26,965.82 and 6,883.71 is: 10,325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.88 : 26,965.82 = 6,883.71 : x
  2. Step 2: Convert to fraction form
    17,977.88/26,965.82 = 6,883.71/x
  3. Step 3: Cross multiply
    17,977.88x = 26,965.82 × 6,883.71
  4. Step 4: Simplify right side
    17,977.88x = 185,624,850.37
  5. Step 5: Solve for x
    x = 185,624,850.37/17,977.88
  6. Step 6: Final answer
    x = 10,325.18

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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.