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Finding the Fourth Proportional to 20,014.69, 30,022.65 and 6,866.88

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Solution

The fourth proportional to 20,014.69, 30,022.65 and 6,866.88 is: 10,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,014.69 : 30,022.65 = 6,866.88 : x
  2. Step 2: Convert to fraction form
    20,014.69/30,022.65 = 6,866.88/x
  3. Step 3: Cross multiply
    20,014.69x = 30,022.65 × 6,866.88
  4. Step 4: Simplify right side
    20,014.69x = 206,161,934.83
  5. Step 5: Solve for x
    x = 206,161,934.83/20,014.69
  6. Step 6: Final answer
    x = 10,300.53

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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.