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Finding the Fourth Proportional to 20,206.99, 30,309.66 and 7,726.51

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Solution

The fourth proportional to 20,206.99, 30,309.66 and 7,726.51 is: 11,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.99 : 30,309.66 = 7,726.51 : x
  2. Step 2: Convert to fraction form
    20,206.99/30,309.66 = 7,726.51/x
  3. Step 3: Cross multiply
    20,206.99x = 30,309.66 × 7,726.51
  4. Step 4: Simplify right side
    20,206.99x = 234,187,891.09
  5. Step 5: Solve for x
    x = 234,187,891.09/20,206.99
  6. Step 6: Final answer
    x = 11,589.45

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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.