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Finding the Fourth Proportional to 23,202.52, 34,796.48 and 7,616.52

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Solution

The fourth proportional to 23,202.52, 34,796.48 and 7,616.52 is: 11,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202.52 : 34,796.48 = 7,616.52 : x
  2. Step 2: Convert to fraction form
    23,202.52/34,796.48 = 7,616.52/x
  3. Step 3: Cross multiply
    23,202.52x = 34,796.48 × 7,616.52
  4. Step 4: Simplify right side
    23,202.52x = 265,028,085.85
  5. Step 5: Solve for x
    x = 265,028,085.85/23,202.52
  6. Step 6: Final answer
    x = 11,422.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.