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Finding the Fourth Proportional to 17,022.80, 23,491.41 and 9,947.81

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Solution

The fourth proportional to 17,022.80, 23,491.41 and 9,947.81 is: 13,727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022.80 : 23,491.41 = 9,947.81 : x
  2. Step 2: Convert to fraction form
    17,022.80/23,491.41 = 9,947.81/x
  3. Step 3: Cross multiply
    17,022.80x = 23,491.41 × 9,947.81
  4. Step 4: Simplify right side
    17,022.80x = 233,688,083.31
  5. Step 5: Solve for x
    x = 233,688,083.31/17,022.80
  6. Step 6: Final answer
    x = 13,727.95

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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.