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Finding the Fourth Proportional to 13,701.24, 18,906.18 and 7,731.81

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Solution

The fourth proportional to 13,701.24, 18,906.18 and 7,731.81 is: 10,669.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.24 : 18,906.18 = 7,731.81 : x
  2. Step 2: Convert to fraction form
    13,701.24/18,906.18 = 7,731.81/x
  3. Step 3: Cross multiply
    13,701.24x = 18,906.18 × 7,731.81
  4. Step 4: Simplify right side
    13,701.24x = 146,178,991.59
  5. Step 5: Solve for x
    x = 146,178,991.59/13,701.24
  6. Step 6: Final answer
    x = 10,669.03

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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.