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Finding the Fourth Proportional to 14,786.92, 20,405.76 and 8,072.66

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Solution

The fourth proportional to 14,786.92, 20,405.76 and 8,072.66 is: 11,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.92 : 20,405.76 = 8,072.66 : x
  2. Step 2: Convert to fraction form
    14,786.92/20,405.76 = 8,072.66/x
  3. Step 3: Cross multiply
    14,786.92x = 20,405.76 × 8,072.66
  4. Step 4: Simplify right side
    14,786.92x = 164,728,762.52
  5. Step 5: Solve for x
    x = 164,728,762.52/14,786.92
  6. Step 6: Final answer
    x = 11,140.17

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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.