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Finding the Fourth Proportional to 20,005.20, 30,007.80 and 6,857.70

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Solution

The fourth proportional to 20,005.20, 30,007.80 and 6,857.70 is: 10,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.20 : 30,007.80 = 6,857.70 : x
  2. Step 2: Convert to fraction form
    20,005.20/30,007.80 = 6,857.70/x
  3. Step 3: Cross multiply
    20,005.20x = 30,007.80 × 6,857.70
  4. Step 4: Simplify right side
    20,005.20x = 205,784,490.06
  5. Step 5: Solve for x
    x = 205,784,490.06/20,005.20
  6. Step 6: Final answer
    x = 10,286.55

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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.