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Finding the Fourth Proportional to 12,850.48, 17,734 and 7,261.52

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Solution

The fourth proportional to 12,850.48, 17,734 and 7,261.52 is: 10,021.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.48 : 17,734 = 7,261.52 : x
  2. Step 2: Convert to fraction form
    12,850.48/17,734 = 7,261.52/x
  3. Step 3: Cross multiply
    12,850.48x = 17,734 × 7,261.52
  4. Step 4: Simplify right side
    12,850.48x = 128,775,795.68
  5. Step 5: Solve for x
    x = 128,775,795.68/12,850.48
  6. Step 6: Final answer
    x = 10,021.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.