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Finding the Fourth Proportional to 20,187.75, 30,282.71 and 6,337.83

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Solution

The fourth proportional to 20,187.75, 30,282.71 and 6,337.83 is: 9,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,187.75 : 30,282.71 = 6,337.83 : x
  2. Step 2: Convert to fraction form
    20,187.75/30,282.71 = 6,337.83/x
  3. Step 3: Cross multiply
    20,187.75x = 30,282.71 × 6,337.83
  4. Step 4: Simplify right side
    20,187.75x = 191,926,667.92
  5. Step 5: Solve for x
    x = 191,926,667.92/20,187.75
  6. Step 6: Final answer
    x = 9,507.09

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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.