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Finding the Fourth Proportional to 12,769.41, 17,623.88 and 7,463.19

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Solution

The fourth proportional to 12,769.41, 17,623.88 and 7,463.19 is: 10,300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.41 : 17,623.88 = 7,463.19 : x
  2. Step 2: Convert to fraction form
    12,769.41/17,623.88 = 7,463.19/x
  3. Step 3: Cross multiply
    12,769.41x = 17,623.88 × 7,463.19
  4. Step 4: Simplify right side
    12,769.41x = 131,530,364.98
  5. Step 5: Solve for x
    x = 131,530,364.98/12,769.41
  6. Step 6: Final answer
    x = 10,300.43

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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.