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Finding the Fourth Proportional to 16,084.50, 22,196.68 and 8,914.74

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Solution

The fourth proportional to 16,084.50, 22,196.68 and 8,914.74 is: 12,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.50 : 22,196.68 = 8,914.74 : x
  2. Step 2: Convert to fraction form
    16,084.50/22,196.68 = 8,914.74/x
  3. Step 3: Cross multiply
    16,084.50x = 22,196.68 × 8,914.74
  4. Step 4: Simplify right side
    16,084.50x = 197,877,631.06
  5. Step 5: Solve for x
    x = 197,877,631.06/16,084.50
  6. Step 6: Final answer
    x = 12,302.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.