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Finding the Fourth Proportional to 12,286.40, 16,962.24 and 8,101.92

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Solution

The fourth proportional to 12,286.40, 16,962.24 and 8,101.92 is: 11,185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.40 : 16,962.24 = 8,101.92 : x
  2. Step 2: Convert to fraction form
    12,286.40/16,962.24 = 8,101.92/x
  3. Step 3: Cross multiply
    12,286.40x = 16,962.24 × 8,101.92
  4. Step 4: Simplify right side
    12,286.40x = 137,426,711.50
  5. Step 5: Solve for x
    x = 137,426,711.50/12,286.40
  6. Step 6: Final answer
    x = 11,185.27

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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.