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Finding the Fourth Proportional to 17,857.36, 26,785.50 and 7,327

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Solution

The fourth proportional to 17,857.36, 26,785.50 and 7,327 is: 10,990.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.36 : 26,785.50 = 7,327 : x
  2. Step 2: Convert to fraction form
    17,857.36/26,785.50 = 7,327/x
  3. Step 3: Cross multiply
    17,857.36x = 26,785.50 × 7,327
  4. Step 4: Simplify right side
    17,857.36x = 196,257,358.50
  5. Step 5: Solve for x
    x = 196,257,358.50/17,857.36
  6. Step 6: Final answer
    x = 10,990.28

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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.