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Finding the Fourth Proportional to 20,694.40, 31,041.60 and 6,843.40

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Solution

The fourth proportional to 20,694.40, 31,041.60 and 6,843.40 is: 10,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694.40 : 31,041.60 = 6,843.40 : x
  2. Step 2: Convert to fraction form
    20,694.40/31,041.60 = 6,843.40/x
  3. Step 3: Cross multiply
    20,694.40x = 31,041.60 × 6,843.40
  4. Step 4: Simplify right side
    20,694.40x = 212,430,085.44
  5. Step 5: Solve for x
    x = 212,430,085.44/20,694.40
  6. Step 6: Final answer
    x = 10,265.10

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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.