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Finding the Fourth Proportional to 20,656.25, 30,984.30 and 5,865.17

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Solution

The fourth proportional to 20,656.25, 30,984.30 and 5,865.17 is: 8,797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,656.25 : 30,984.30 = 5,865.17 : x
  2. Step 2: Convert to fraction form
    20,656.25/30,984.30 = 5,865.17/x
  3. Step 3: Cross multiply
    20,656.25x = 30,984.30 × 5,865.17
  4. Step 4: Simplify right side
    20,656.25x = 181,728,186.83
  5. Step 5: Solve for x
    x = 181,728,186.83/20,656.25
  6. Step 6: Final answer
    x = 8,797.73

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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.