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Finding the Fourth Proportional to 14,660.57, 20,231.60 and 7,946.17

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Solution

The fourth proportional to 14,660.57, 20,231.60 and 7,946.17 is: 10,965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,660.57 : 20,231.60 = 7,946.17 : x
  2. Step 2: Convert to fraction form
    14,660.57/20,231.60 = 7,946.17/x
  3. Step 3: Cross multiply
    14,660.57x = 20,231.60 × 7,946.17
  4. Step 4: Simplify right side
    14,660.57x = 160,763,778.13
  5. Step 5: Solve for x
    x = 160,763,778.13/14,660.57
  6. Step 6: Final answer
    x = 10,965.73

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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.