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Finding the Fourth Proportional to 17,709.36, 26,547.60 and 7,843.36

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Solution

The fourth proportional to 17,709.36, 26,547.60 and 7,843.36 is: 11,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709.36 : 26,547.60 = 7,843.36 : x
  2. Step 2: Convert to fraction form
    17,709.36/26,547.60 = 7,843.36/x
  3. Step 3: Cross multiply
    17,709.36x = 26,547.60 × 7,843.36
  4. Step 4: Simplify right side
    17,709.36x = 208,222,383.94
  5. Step 5: Solve for x
    x = 208,222,383.94/17,709.36
  6. Step 6: Final answer
    x = 11,757.76

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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.