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Finding the Fourth Proportional to 16,471.20, 22,730.32 and 9,399.84

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Solution

The fourth proportional to 16,471.20, 22,730.32 and 9,399.84 is: 12,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.20 : 22,730.32 = 9,399.84 : x
  2. Step 2: Convert to fraction form
    16,471.20/22,730.32 = 9,399.84/x
  3. Step 3: Cross multiply
    16,471.20x = 22,730.32 × 9,399.84
  4. Step 4: Simplify right side
    16,471.20x = 213,661,371.15
  5. Step 5: Solve for x
    x = 213,661,371.15/16,471.20
  6. Step 6: Final answer
    x = 12,971.82

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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.