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Finding the Fourth Proportional to 19,809,914.20, 29,697,591.30 and 7,687,648.60

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Solution

The fourth proportional to 19,809,914.20, 29,697,591.30 and 7,687,648.60 is: 11,524,767.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809,914.20 : 29,697,591.30 = 7,687,648.60 : x
  2. Step 2: Convert to fraction form
    19,809,914.20/29,697,591.30 = 7,687,648.60/x
  3. Step 3: Cross multiply
    19,809,914.20x = 29,697,591.30 × 7,687,648.60
  4. Step 4: Simplify right side
    19,809,914.20x = 228,304,646,180,817.19
  5. Step 5: Solve for x
    x = 228,304,646,180,817.19/19,809,914.20
  6. Step 6: Final answer
    x = 11,524,767.04

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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.