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Finding the Fourth Proportional to 23,242.52, 34,866.26 and 7,441.90

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Solution

The fourth proportional to 23,242.52, 34,866.26 and 7,441.90 is: 11,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242.52 : 34,866.26 = 7,441.90 : x
  2. Step 2: Convert to fraction form
    23,242.52/34,866.26 = 7,441.90/x
  3. Step 3: Cross multiply
    23,242.52x = 34,866.26 × 7,441.90
  4. Step 4: Simplify right side
    23,242.52x = 259,471,220.29
  5. Step 5: Solve for x
    x = 259,471,220.29/23,242.52
  6. Step 6: Final answer
    x = 11,163.64

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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.