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Finding the Fourth Proportional to 12,182.05, 16,814.82 and 7,147.36

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Solution

The fourth proportional to 12,182.05, 16,814.82 and 7,147.36 is: 9,865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.05 : 16,814.82 = 7,147.36 : x
  2. Step 2: Convert to fraction form
    12,182.05/16,814.82 = 7,147.36/x
  3. Step 3: Cross multiply
    12,182.05x = 16,814.82 × 7,147.36
  4. Step 4: Simplify right side
    12,182.05x = 120,181,571.88
  5. Step 5: Solve for x
    x = 120,181,571.88/12,182.05
  6. Step 6: Final answer
    x = 9,865.46

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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.