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Finding the Fourth Proportional to 12,302.28, 16,968.39 and 8,212.02

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Solution

The fourth proportional to 12,302.28, 16,968.39 and 8,212.02 is: 11,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.28 : 16,968.39 = 8,212.02 : x
  2. Step 2: Convert to fraction form
    12,302.28/16,968.39 = 8,212.02/x
  3. Step 3: Cross multiply
    12,302.28x = 16,968.39 × 8,212.02
  4. Step 4: Simplify right side
    12,302.28x = 139,344,732.91
  5. Step 5: Solve for x
    x = 139,344,732.91/12,302.28
  6. Step 6: Final answer
    x = 11,326.74

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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.