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Finding the Fourth Proportional to 20,288.50, 30,412.23 and 9,743.11

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Solution

The fourth proportional to 20,288.50, 30,412.23 and 9,743.11 is: 14,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,288.50 : 30,412.23 = 9,743.11 : x
  2. Step 2: Convert to fraction form
    20,288.50/30,412.23 = 9,743.11/x
  3. Step 3: Cross multiply
    20,288.50x = 30,412.23 × 9,743.11
  4. Step 4: Simplify right side
    20,288.50x = 296,309,702.24
  5. Step 5: Solve for x
    x = 296,309,702.24/20,288.50
  6. Step 6: Final answer
    x = 14,604.81

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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.