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Finding the Fourth Proportional to 17,716.80, 26,596.80 and 8,947.20

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Solution

The fourth proportional to 17,716.80, 26,596.80 and 8,947.20 is: 13,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716.80 : 26,596.80 = 8,947.20 : x
  2. Step 2: Convert to fraction form
    17,716.80/26,596.80 = 8,947.20/x
  3. Step 3: Cross multiply
    17,716.80x = 26,596.80 × 8,947.20
  4. Step 4: Simplify right side
    17,716.80x = 237,966,888.96
  5. Step 5: Solve for x
    x = 237,966,888.96/17,716.80
  6. Step 6: Final answer
    x = 13,431.71

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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.