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Finding the Fourth Proportional to 13,717.56, 18,930.59 and 8,338.15

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Solution

The fourth proportional to 13,717.56, 18,930.59 and 8,338.15 is: 11,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.56 : 18,930.59 = 8,338.15 : x
  2. Step 2: Convert to fraction form
    13,717.56/18,930.59 = 8,338.15/x
  3. Step 3: Cross multiply
    13,717.56x = 18,930.59 × 8,338.15
  4. Step 4: Simplify right side
    13,717.56x = 157,846,009.99
  5. Step 5: Solve for x
    x = 157,846,009.99/13,717.56
  6. Step 6: Final answer
    x = 11,506.86

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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.