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Finding the Fourth Proportional to 13,022.74, 17,969.94 and 7,356.88

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Solution

The fourth proportional to 13,022.74, 17,969.94 and 7,356.88 is: 10,151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.74 : 17,969.94 = 7,356.88 : x
  2. Step 2: Convert to fraction form
    13,022.74/17,969.94 = 7,356.88/x
  3. Step 3: Cross multiply
    13,022.74x = 17,969.94 × 7,356.88
  4. Step 4: Simplify right side
    13,022.74x = 132,202,692.19
  5. Step 5: Solve for x
    x = 132,202,692.19/13,022.74
  6. Step 6: Final answer
    x = 10,151.68

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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.