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Finding the Fourth Proportional to 17,708.80, 26,579.60 and 8,949.84

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Solution

The fourth proportional to 17,708.80, 26,579.60 and 8,949.84 is: 13,433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,708.80 : 26,579.60 = 8,949.84 : x
  2. Step 2: Convert to fraction form
    17,708.80/26,579.60 = 8,949.84/x
  3. Step 3: Cross multiply
    17,708.80x = 26,579.60 × 8,949.84
  4. Step 4: Simplify right side
    17,708.80x = 237,883,167.26
  5. Step 5: Solve for x
    x = 237,883,167.26/17,708.80
  6. Step 6: Final answer
    x = 13,433.05

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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.