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Finding the Fourth Proportional to 14,653.50, 20,220.38 and 8,191.92

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Solution

The fourth proportional to 14,653.50, 20,220.38 and 8,191.92 is: 11,304.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.50 : 20,220.38 = 8,191.92 : x
  2. Step 2: Convert to fraction form
    14,653.50/20,220.38 = 8,191.92/x
  3. Step 3: Cross multiply
    14,653.50x = 20,220.38 × 8,191.92
  4. Step 4: Simplify right side
    14,653.50x = 165,643,735.33
  5. Step 5: Solve for x
    x = 165,643,735.33/14,653.50
  6. Step 6: Final answer
    x = 11,304.04

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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.