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Finding the Fourth Proportional to 13,761.36, 20,653.38 and 5,969.16

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Solution

The fourth proportional to 13,761.36, 20,653.38 and 5,969.16 is: 8,958.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.36 : 20,653.38 = 5,969.16 : x
  2. Step 2: Convert to fraction form
    13,761.36/20,653.38 = 5,969.16/x
  3. Step 3: Cross multiply
    13,761.36x = 20,653.38 × 5,969.16
  4. Step 4: Simplify right side
    13,761.36x = 123,283,329.76
  5. Step 5: Solve for x
    x = 123,283,329.76/13,761.36
  6. Step 6: Final answer
    x = 8,958.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.