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Finding the Fourth Proportional to 20,006.20, 30,009.30 and 6,858.70

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Solution

The fourth proportional to 20,006.20, 30,009.30 and 6,858.70 is: 10,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,006.20 : 30,009.30 = 6,858.70 : x
  2. Step 2: Convert to fraction form
    20,006.20/30,009.30 = 6,858.70/x
  3. Step 3: Cross multiply
    20,006.20x = 30,009.30 × 6,858.70
  4. Step 4: Simplify right side
    20,006.20x = 205,824,785.91
  5. Step 5: Solve for x
    x = 205,824,785.91/20,006.20
  6. Step 6: Final answer
    x = 10,288.05

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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.