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Finding the Fourth Proportional to 13,712.08, 18,923.36 and 7,744

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Solution

The fourth proportional to 13,712.08, 18,923.36 and 7,744 is: 10,687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.08 : 18,923.36 = 7,744 : x
  2. Step 2: Convert to fraction form
    13,712.08/18,923.36 = 7,744/x
  3. Step 3: Cross multiply
    13,712.08x = 18,923.36 × 7,744
  4. Step 4: Simplify right side
    13,712.08x = 146,542,499.84
  5. Step 5: Solve for x
    x = 146,542,499.84/13,712.08
  6. Step 6: Final answer
    x = 10,687.11

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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.