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Finding the Fourth Proportional to 13,902,473.20, 20,853,709.80 and 9,597,801.10

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Solution

The fourth proportional to 13,902,473.20, 20,853,709.80 and 9,597,801.10 is: 14,396,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902,473.20 : 20,853,709.80 = 9,597,801.10 : x
  2. Step 2: Convert to fraction form
    13,902,473.20/20,853,709.80 = 9,597,801.10/x
  3. Step 3: Cross multiply
    13,902,473.20x = 20,853,709.80 × 9,597,801.10
  4. Step 4: Simplify right side
    13,902,473.20x = 200,149,758,857,520.78
  5. Step 5: Solve for x
    x = 200,149,758,857,520.78/13,902,473.20
  6. Step 6: Final answer
    x = 14,396,701.65

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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.