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Finding the Fourth Proportional to 20,497.14, 30,739.64 and 8,807.63

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Solution

The fourth proportional to 20,497.14, 30,739.64 and 8,807.63 is: 13,208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.14 : 30,739.64 = 8,807.63 : x
  2. Step 2: Convert to fraction form
    20,497.14/30,739.64 = 8,807.63/x
  3. Step 3: Cross multiply
    20,497.14x = 30,739.64 × 8,807.63
  4. Step 4: Simplify right side
    20,497.14x = 270,743,177.72
  5. Step 5: Solve for x
    x = 270,743,177.72/20,497.14
  6. Step 6: Final answer
    x = 13,208.83

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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.