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Finding the Fourth Proportional to 20,006.68, 30,010.50 and 6,858.96

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Solution

The fourth proportional to 20,006.68, 30,010.50 and 6,858.96 is: 10,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,006.68 : 30,010.50 = 6,858.96 : x
  2. Step 2: Convert to fraction form
    20,006.68/30,010.50 = 6,858.96/x
  3. Step 3: Cross multiply
    20,006.68x = 30,010.50 × 6,858.96
  4. Step 4: Simplify right side
    20,006.68x = 205,840,819.08
  5. Step 5: Solve for x
    x = 205,840,819.08/20,006.68
  6. Step 6: Final answer
    x = 10,288.60

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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.