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Finding the Fourth Proportional to 19,942.70, 29,914.05 and 6,809.90

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Solution

The fourth proportional to 19,942.70, 29,914.05 and 6,809.90 is: 10,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,942.70 : 29,914.05 = 6,809.90 : x
  2. Step 2: Convert to fraction form
    19,942.70/29,914.05 = 6,809.90/x
  3. Step 3: Cross multiply
    19,942.70x = 29,914.05 × 6,809.90
  4. Step 4: Simplify right side
    19,942.70x = 203,711,689.10
  5. Step 5: Solve for x
    x = 203,711,689.10/19,942.70
  6. Step 6: Final answer
    x = 10,214.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.