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Finding the Fourth Proportional to 13,739.36, 18,960.68 and 7,770.87

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Solution

The fourth proportional to 13,739.36, 18,960.68 and 7,770.87 is: 10,724.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739.36 : 18,960.68 = 7,770.87 : x
  2. Step 2: Convert to fraction form
    13,739.36/18,960.68 = 7,770.87/x
  3. Step 3: Cross multiply
    13,739.36x = 18,960.68 × 7,770.87
  4. Step 4: Simplify right side
    13,739.36x = 147,340,998.82
  5. Step 5: Solve for x
    x = 147,340,998.82/13,739.36
  6. Step 6: Final answer
    x = 10,724.01

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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.