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Finding the Fourth Proportional to 12,794.66, 17,662.56 and 9,020.90

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Solution

The fourth proportional to 12,794.66, 17,662.56 and 9,020.90 is: 12,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.66 : 17,662.56 = 9,020.90 : x
  2. Step 2: Convert to fraction form
    12,794.66/17,662.56 = 9,020.90/x
  3. Step 3: Cross multiply
    12,794.66x = 17,662.56 × 9,020.90
  4. Step 4: Simplify right side
    12,794.66x = 159,332,187.50
  5. Step 5: Solve for x
    x = 159,332,187.50/12,794.66
  6. Step 6: Final answer
    x = 12,453.02

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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.