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Finding the Fourth Proportional to 13,756.69, 18,988.70 and 8,091.14

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Solution

The fourth proportional to 13,756.69, 18,988.70 and 8,091.14 is: 11,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.69 : 18,988.70 = 8,091.14 : x
  2. Step 2: Convert to fraction form
    13,756.69/18,988.70 = 8,091.14/x
  3. Step 3: Cross multiply
    13,756.69x = 18,988.70 × 8,091.14
  4. Step 4: Simplify right side
    13,756.69x = 153,640,269.80
  5. Step 5: Solve for x
    x = 153,640,269.80/13,756.69
  6. Step 6: Final answer
    x = 11,168.41

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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.