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Finding the Fourth Proportional to 13,109.91, 18,091.56 and 7,141.56

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Solution

The fourth proportional to 13,109.91, 18,091.56 and 7,141.56 is: 9,855.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109.91 : 18,091.56 = 7,141.56 : x
  2. Step 2: Convert to fraction form
    13,109.91/18,091.56 = 7,141.56/x
  3. Step 3: Cross multiply
    13,109.91x = 18,091.56 × 7,141.56
  4. Step 4: Simplify right side
    13,109.91x = 129,201,961.23
  5. Step 5: Solve for x
    x = 129,201,961.23/13,109.91
  6. Step 6: Final answer
    x = 9,855.29

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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.