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Finding the Fourth Proportional to 16,454.17, 22,706.63 and 9,380.44

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Solution

The fourth proportional to 16,454.17, 22,706.63 and 9,380.44 is: 12,944.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.17 : 22,706.63 = 9,380.44 : x
  2. Step 2: Convert to fraction form
    16,454.17/22,706.63 = 9,380.44/x
  3. Step 3: Cross multiply
    16,454.17x = 22,706.63 × 9,380.44
  4. Step 4: Simplify right side
    16,454.17x = 212,998,196.97
  5. Step 5: Solve for x
    x = 212,998,196.97/16,454.17
  6. Step 6: Final answer
    x = 12,944.94

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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.