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Finding the Fourth Proportional to 17,202.15, 23,735.36 and 11,242.58

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Solution

The fourth proportional to 17,202.15, 23,735.36 and 11,242.58 is: 15,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.15 : 23,735.36 = 11,242.58 : x
  2. Step 2: Convert to fraction form
    17,202.15/23,735.36 = 11,242.58/x
  3. Step 3: Cross multiply
    17,202.15x = 23,735.36 × 11,242.58
  4. Step 4: Simplify right side
    17,202.15x = 266,846,508.74
  5. Step 5: Solve for x
    x = 266,846,508.74/17,202.15
  6. Step 6: Final answer
    x = 15,512.39

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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.