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Finding the Fourth Proportional to 16,216.79, 22,378.82 and 9,143.46

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Solution

The fourth proportional to 16,216.79, 22,378.82 and 9,143.46 is: 12,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.79 : 22,378.82 = 9,143.46 : x
  2. Step 2: Convert to fraction form
    16,216.79/22,378.82 = 9,143.46/x
  3. Step 3: Cross multiply
    16,216.79x = 22,378.82 × 9,143.46
  4. Step 4: Simplify right side
    16,216.79x = 204,619,799.80
  5. Step 5: Solve for x
    x = 204,619,799.80/16,216.79
  6. Step 6: Final answer
    x = 12,617.78

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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.