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Finding the Fourth Proportional to 16,209.14, 22,368.60 and 8,757.14

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Solution

The fourth proportional to 16,209.14, 22,368.60 and 8,757.14 is: 12,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.14 : 22,368.60 = 8,757.14 : x
  2. Step 2: Convert to fraction form
    16,209.14/22,368.60 = 8,757.14/x
  3. Step 3: Cross multiply
    16,209.14x = 22,368.60 × 8,757.14
  4. Step 4: Simplify right side
    16,209.14x = 195,884,961.80
  5. Step 5: Solve for x
    x = 195,884,961.80/16,209.14
  6. Step 6: Final answer
    x = 12,084.85

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1.5x scale

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.