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Finding the Fourth Proportional to 17,884.80, 26,805.60 and 9,115.20

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Solution

The fourth proportional to 17,884.80, 26,805.60 and 9,115.20 is: 13,661.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.80 : 26,805.60 = 9,115.20 : x
  2. Step 2: Convert to fraction form
    17,884.80/26,805.60 = 9,115.20/x
  3. Step 3: Cross multiply
    17,884.80x = 26,805.60 × 9,115.20
  4. Step 4: Simplify right side
    17,884.80x = 244,338,405.12
  5. Step 5: Solve for x
    x = 244,338,405.12/17,884.80
  6. Step 6: Final answer
    x = 13,661.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.