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Finding the Fourth Proportional to 11,536,724.20, 17,305,086.30 and 11,536,724.20

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Solution

The fourth proportional to 11,536,724.20, 17,305,086.30 and 11,536,724.20 is: 17,305,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536,724.20 : 17,305,086.30 = 11,536,724.20 : x
  2. Step 2: Convert to fraction form
    11,536,724.20/17,305,086.30 = 11,536,724.20/x
  3. Step 3: Cross multiply
    11,536,724.20x = 17,305,086.30 × 11,536,724.20
  4. Step 4: Simplify right side
    11,536,724.20x = 199,644,007,900,298.47
  5. Step 5: Solve for x
    x = 199,644,007,900,298.47/11,536,724.20
  6. Step 6: Final answer
    x = 17,305,086.30

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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.