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Finding the Fourth Proportional to 13,902,458.20, 20,853,687.30 and 9,597,786.10

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Solution

The fourth proportional to 13,902,458.20, 20,853,687.30 and 9,597,786.10 is: 14,396,679.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902,458.20 : 20,853,687.30 = 9,597,786.10 : x
  2. Step 2: Convert to fraction form
    13,902,458.20/20,853,687.30 = 9,597,786.10/x
  3. Step 3: Cross multiply
    13,902,458.20x = 20,853,687.30 × 9,597,786.10
  4. Step 4: Simplify right side
    13,902,458.20x = 200,149,230,101,686.53
  5. Step 5: Solve for x
    x = 200,149,230,101,686.53/13,902,458.20
  6. Step 6: Final answer
    x = 14,396,679.15

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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.