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Finding the Fourth Proportional to 12,850.86, 17,733.33 and 7,261.50

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Solution

The fourth proportional to 12,850.86, 17,733.33 and 7,261.50 is: 10,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.86 : 17,733.33 = 7,261.50 : x
  2. Step 2: Convert to fraction form
    12,850.86/17,733.33 = 7,261.50/x
  3. Step 3: Cross multiply
    12,850.86x = 17,733.33 × 7,261.50
  4. Step 4: Simplify right side
    12,850.86x = 128,770,575.80
  5. Step 5: Solve for x
    x = 128,770,575.80/12,850.86
  6. Step 6: Final answer
    x = 10,020.39

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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.