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Finding the Fourth Proportional to 16,185.17, 22,336.14 and 8,917.56

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Solution

The fourth proportional to 16,185.17, 22,336.14 and 8,917.56 is: 12,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.17 : 22,336.14 = 8,917.56 : x
  2. Step 2: Convert to fraction form
    16,185.17/22,336.14 = 8,917.56/x
  3. Step 3: Cross multiply
    16,185.17x = 22,336.14 × 8,917.56
  4. Step 4: Simplify right side
    16,185.17x = 199,183,816.31
  5. Step 5: Solve for x
    x = 199,183,816.31/16,185.17
  6. Step 6: Final answer
    x = 12,306.57

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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.