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Finding the Fourth Proportional to 17,251.44, 23,807.22 and 9,697.33

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Solution

The fourth proportional to 17,251.44, 23,807.22 and 9,697.33 is: 13,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,251.44 : 23,807.22 = 9,697.33 : x
  2. Step 2: Convert to fraction form
    17,251.44/23,807.22 = 9,697.33/x
  3. Step 3: Cross multiply
    17,251.44x = 23,807.22 × 9,697.33
  4. Step 4: Simplify right side
    17,251.44x = 230,866,409.20
  5. Step 5: Solve for x
    x = 230,866,409.20/17,251.44
  6. Step 6: Final answer
    x = 13,382.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.