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Finding the Fourth Proportional to 23,149.88, 34,727.26 and 7,567.48

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Solution

The fourth proportional to 23,149.88, 34,727.26 and 7,567.48 is: 11,352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,149.88 : 34,727.26 = 7,567.48 : x
  2. Step 2: Convert to fraction form
    23,149.88/34,727.26 = 7,567.48/x
  3. Step 3: Cross multiply
    23,149.88x = 34,727.26 × 7,567.48
  4. Step 4: Simplify right side
    23,149.88x = 262,797,845.50
  5. Step 5: Solve for x
    x = 262,797,845.50/23,149.88
  6. Step 6: Final answer
    x = 11,352.02

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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.