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Finding the Fourth Proportional to 17,202.78, 23,738.43 and 9,648.08

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Solution

The fourth proportional to 17,202.78, 23,738.43 and 9,648.08 is: 13,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.78 : 23,738.43 = 9,648.08 : x
  2. Step 2: Convert to fraction form
    17,202.78/23,738.43 = 9,648.08/x
  3. Step 3: Cross multiply
    17,202.78x = 23,738.43 × 9,648.08
  4. Step 4: Simplify right side
    17,202.78x = 229,030,278.22
  5. Step 5: Solve for x
    x = 229,030,278.22/17,202.78
  6. Step 6: Final answer
    x = 13,313.56

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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.