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Finding the Fourth Proportional to 20,618.35, 30,924.79 and 5,828.42

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Solution

The fourth proportional to 20,618.35, 30,924.79 and 5,828.42 is: 8,741.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,618.35 : 30,924.79 = 5,828.42 : x
  2. Step 2: Convert to fraction form
    20,618.35/30,924.79 = 5,828.42/x
  3. Step 3: Cross multiply
    20,618.35x = 30,924.79 × 5,828.42
  4. Step 4: Simplify right side
    20,618.35x = 180,242,727.27
  5. Step 5: Solve for x
    x = 180,242,727.27/20,618.35
  6. Step 6: Final answer
    x = 8,741.86

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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.