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Finding the Fourth Proportional to 13,737.49, 18,958.67 and 7,769.16

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Solution

The fourth proportional to 13,737.49, 18,958.67 and 7,769.16 is: 10,721.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.49 : 18,958.67 = 7,769.16 : x
  2. Step 2: Convert to fraction form
    13,737.49/18,958.67 = 7,769.16/x
  3. Step 3: Cross multiply
    13,737.49x = 18,958.67 × 7,769.16
  4. Step 4: Simplify right side
    13,737.49x = 147,292,845.82
  5. Step 5: Solve for x
    x = 147,292,845.82/13,737.49
  6. Step 6: Final answer
    x = 10,721.97

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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.