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Finding the Fourth Proportional to 16,084.69, 22,195.75 and 8,914.53

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Solution

The fourth proportional to 16,084.69, 22,195.75 and 8,914.53 is: 12,301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.69 : 22,195.75 = 8,914.53 : x
  2. Step 2: Convert to fraction form
    16,084.69/22,195.75 = 8,914.53/x
  3. Step 3: Cross multiply
    16,084.69x = 22,195.75 × 8,914.53
  4. Step 4: Simplify right side
    16,084.69x = 197,864,634.67
  5. Step 5: Solve for x
    x = 197,864,634.67/16,084.69
  6. Step 6: Final answer
    x = 12,301.43

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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.