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Finding the Fourth Proportional to 12,769.80, 17,623.12 and 7,105.81

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Solution

The fourth proportional to 12,769.80, 17,623.12 and 7,105.81 is: 9,806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.80 : 17,623.12 = 7,105.81 : x
  2. Step 2: Convert to fraction form
    12,769.80/17,623.12 = 7,105.81/x
  3. Step 3: Cross multiply
    12,769.80x = 17,623.12 × 7,105.81
  4. Step 4: Simplify right side
    12,769.80x = 125,226,601.22
  5. Step 5: Solve for x
    x = 125,226,601.22/12,769.80
  6. Step 6: Final answer
    x = 9,806.46

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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.