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Finding the Fourth Proportional to 18,645.14, 27,968.02 and 9,861.90

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Solution

The fourth proportional to 18,645.14, 27,968.02 and 9,861.90 is: 14,793.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,645.14 : 27,968.02 = 9,861.90 : x
  2. Step 2: Convert to fraction form
    18,645.14/27,968.02 = 9,861.90/x
  3. Step 3: Cross multiply
    18,645.14x = 27,968.02 × 9,861.90
  4. Step 4: Simplify right side
    18,645.14x = 275,817,816.44
  5. Step 5: Solve for x
    x = 275,817,816.44/18,645.14
  6. Step 6: Final answer
    x = 14,793.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.