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Finding the Fourth Proportional to 16,084.86, 22,196.82 and 8,914.75

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Solution

The fourth proportional to 16,084.86, 22,196.82 and 8,914.75 is: 12,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.86 : 22,196.82 = 8,914.75 : x
  2. Step 2: Convert to fraction form
    16,084.86/22,196.82 = 8,914.75/x
  3. Step 3: Cross multiply
    16,084.86x = 22,196.82 × 8,914.75
  4. Step 4: Simplify right side
    16,084.86x = 197,879,079.03
  5. Step 5: Solve for x
    x = 197,879,079.03/16,084.86
  6. Step 6: Final answer
    x = 12,302.20

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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.