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Finding the Fourth Proportional to 12,057.78, 16,647.66 and 7,350.06

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Solution

The fourth proportional to 12,057.78, 16,647.66 and 7,350.06 is: 10,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.78 : 16,647.66 = 7,350.06 : x
  2. Step 2: Convert to fraction form
    12,057.78/16,647.66 = 7,350.06/x
  3. Step 3: Cross multiply
    12,057.78x = 16,647.66 × 7,350.06
  4. Step 4: Simplify right side
    12,057.78x = 122,361,299.86
  5. Step 5: Solve for x
    x = 122,361,299.86/12,057.78
  6. Step 6: Final answer
    x = 10,147.91

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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.