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Finding the Fourth Proportional to 20,406.88, 30,593.45 and 7,754.02

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Solution

The fourth proportional to 20,406.88, 30,593.45 and 7,754.02 is: 11,624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,406.88 : 30,593.45 = 7,754.02 : x
  2. Step 2: Convert to fraction form
    20,406.88/30,593.45 = 7,754.02/x
  3. Step 3: Cross multiply
    20,406.88x = 30,593.45 × 7,754.02
  4. Step 4: Simplify right side
    20,406.88x = 237,222,176.68
  5. Step 5: Solve for x
    x = 237,222,176.68/20,406.88
  6. Step 6: Final answer
    x = 11,624.62

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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.