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Finding the Fourth Proportional to 12,213.14, 16,853.82 and 6,762.02

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Solution

The fourth proportional to 12,213.14, 16,853.82 and 6,762.02 is: 9,331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.14 : 16,853.82 = 6,762.02 : x
  2. Step 2: Convert to fraction form
    12,213.14/16,853.82 = 6,762.02/x
  3. Step 3: Cross multiply
    12,213.14x = 16,853.82 × 6,762.02
  4. Step 4: Simplify right side
    12,213.14x = 113,965,867.92
  5. Step 5: Solve for x
    x = 113,965,867.92/12,213.14
  6. Step 6: Final answer
    x = 9,331.41

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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.