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Finding the Fourth Proportional to 13,902,441.20, 20,853,661.80 and 9,597,769.10

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Solution

The fourth proportional to 13,902,441.20, 20,853,661.80 and 9,597,769.10 is: 14,396,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902,441.20 : 20,853,661.80 = 9,597,769.10 : x
  2. Step 2: Convert to fraction form
    13,902,441.20/20,853,661.80 = 9,597,769.10/x
  3. Step 3: Cross multiply
    13,902,441.20x = 20,853,661.80 × 9,597,769.10
  4. Step 4: Simplify right side
    13,902,441.20x = 200,148,630,845,890.38
  5. Step 5: Solve for x
    x = 200,148,630,845,890.38/13,902,441.20
  6. Step 6: Final answer
    x = 14,396,653.65

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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.