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Finding the Fourth Proportional to 12,057.78, 16,647.13 and 9,550.02

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Solution

The fourth proportional to 12,057.78, 16,647.13 and 9,550.02 is: 13,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.78 : 16,647.13 = 9,550.02 : x
  2. Step 2: Convert to fraction form
    12,057.78/16,647.13 = 9,550.02/x
  3. Step 3: Cross multiply
    12,057.78x = 16,647.13 × 9,550.02
  4. Step 4: Simplify right side
    12,057.78x = 158,980,376.69
  5. Step 5: Solve for x
    x = 158,980,376.69/12,057.78
  6. Step 6: Final answer
    x = 13,184.88

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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.