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Finding the Fourth Proportional to 16,399.28, 22,631.24 and 8,947.28

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Solution

The fourth proportional to 16,399.28, 22,631.24 and 8,947.28 is: 12,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399.28 : 22,631.24 = 8,947.28 : x
  2. Step 2: Convert to fraction form
    16,399.28/22,631.24 = 8,947.28/x
  3. Step 3: Cross multiply
    16,399.28x = 22,631.24 × 8,947.28
  4. Step 4: Simplify right side
    16,399.28x = 202,488,041.03
  5. Step 5: Solve for x
    x = 202,488,041.03/16,399.28
  6. Step 6: Final answer
    x = 12,347.37

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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.