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Finding the Fourth Proportional to 13,902,462.20, 20,853,693.30 and 11,802,942.20

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Solution

The fourth proportional to 13,902,462.20, 20,853,693.30 and 11,802,942.20 is: 17,704,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902,462.20 : 20,853,693.30 = 11,802,942.20 : x
  2. Step 2: Convert to fraction form
    13,902,462.20/20,853,693.30 = 11,802,942.20/x
  3. Step 3: Cross multiply
    13,902,462.20x = 20,853,693.30 × 11,802,942.20
  4. Step 4: Simplify right side
    13,902,462.20x = 246,134,936,676,427.25
  5. Step 5: Solve for x
    x = 246,134,936,676,427.25/13,902,462.20
  6. Step 6: Final answer
    x = 17,704,413.30

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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.