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Finding the Fourth Proportional to 12,251.45, 16,906.73 and 6,946.29

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Solution

The fourth proportional to 12,251.45, 16,906.73 and 6,946.29 is: 9,585.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.45 : 16,906.73 = 6,946.29 : x
  2. Step 2: Convert to fraction form
    12,251.45/16,906.73 = 6,946.29/x
  3. Step 3: Cross multiply
    12,251.45x = 16,906.73 × 6,946.29
  4. Step 4: Simplify right side
    12,251.45x = 117,439,014.80
  5. Step 5: Solve for x
    x = 117,439,014.80/12,251.45
  6. Step 6: Final answer
    x = 9,585.72

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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.