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Finding the Fourth Proportional to 16,218, 22,380.96 and 9,934.56

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Solution

The fourth proportional to 16,218, 22,380.96 and 9,934.56 is: 13,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218 : 22,380.96 = 9,934.56 : x
  2. Step 2: Convert to fraction form
    16,218/22,380.96 = 9,934.56/x
  3. Step 3: Cross multiply
    16,218x = 22,380.96 × 9,934.56
  4. Step 4: Simplify right side
    16,218x = 222,344,989.98
  5. Step 5: Solve for x
    x = 222,344,989.98/16,218
  6. Step 6: Final answer
    x = 13,709.77

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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.