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Finding the Fourth Proportional to 14,982.30, 20,674.98 and 8,609.22

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Solution

The fourth proportional to 14,982.30, 20,674.98 and 8,609.22 is: 11,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982.30 : 20,674.98 = 8,609.22 : x
  2. Step 2: Convert to fraction form
    14,982.30/20,674.98 = 8,609.22/x
  3. Step 3: Cross multiply
    14,982.30x = 20,674.98 × 8,609.22
  4. Step 4: Simplify right side
    14,982.30x = 177,995,451.32
  5. Step 5: Solve for x
    x = 177,995,451.32/14,982.30
  6. Step 6: Final answer
    x = 11,880.38

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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.