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Finding the Fourth Proportional to 13,737.87, 18,958.03 and 7,769.31

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Solution

The fourth proportional to 13,737.87, 18,958.03 and 7,769.31 is: 10,721.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.87 : 18,958.03 = 7,769.31 : x
  2. Step 2: Convert to fraction form
    13,737.87/18,958.03 = 7,769.31/x
  3. Step 3: Cross multiply
    13,737.87x = 18,958.03 × 7,769.31
  4. Step 4: Simplify right side
    13,737.87x = 147,290,812.06
  5. Step 5: Solve for x
    x = 147,290,812.06/13,737.87
  6. Step 6: Final answer
    x = 10,721.52

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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.