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Finding the Fourth Proportional to 13,109.85, 18,091.75 and 7,141.57

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Solution

The fourth proportional to 13,109.85, 18,091.75 and 7,141.57 is: 9,855.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109.85 : 18,091.75 = 7,141.57 : x
  2. Step 2: Convert to fraction form
    13,109.85/18,091.75 = 7,141.57/x
  3. Step 3: Cross multiply
    13,109.85x = 18,091.75 × 7,141.57
  4. Step 4: Simplify right side
    13,109.85x = 129,203,499.05
  5. Step 5: Solve for x
    x = 129,203,499.05/13,109.85
  6. Step 6: Final answer
    x = 9,855.45

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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.