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Finding the Fourth Proportional to 20,829.54, 31,244.16 and 8,349.38

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Solution

The fourth proportional to 20,829.54, 31,244.16 and 8,349.38 is: 12,524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,829.54 : 31,244.16 = 8,349.38 : x
  2. Step 2: Convert to fraction form
    20,829.54/31,244.16 = 8,349.38/x
  3. Step 3: Cross multiply
    20,829.54x = 31,244.16 × 8,349.38
  4. Step 4: Simplify right side
    20,829.54x = 260,869,286.43
  5. Step 5: Solve for x
    x = 260,869,286.43/20,829.54
  6. Step 6: Final answer
    x = 12,524.01

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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.