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Finding the Fourth Proportional to 17,334.33, 23,921.38 and 9,782.27

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Solution

The fourth proportional to 17,334.33, 23,921.38 and 9,782.27 is: 13,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,334.33 : 23,921.38 = 9,782.27 : x
  2. Step 2: Convert to fraction form
    17,334.33/23,921.38 = 9,782.27/x
  3. Step 3: Cross multiply
    17,334.33x = 23,921.38 × 9,782.27
  4. Step 4: Simplify right side
    17,334.33x = 234,005,325.23
  5. Step 5: Solve for x
    x = 234,005,325.23/17,334.33
  6. Step 6: Final answer
    x = 13,499.53

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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.