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Finding the Fourth Proportional to 20,616.86, 30,904.50 and 8,132.06

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Solution

The fourth proportional to 20,616.86, 30,904.50 and 8,132.06 is: 12,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,616.86 : 30,904.50 = 8,132.06 : x
  2. Step 2: Convert to fraction form
    20,616.86/30,904.50 = 8,132.06/x
  3. Step 3: Cross multiply
    20,616.86x = 30,904.50 × 8,132.06
  4. Step 4: Simplify right side
    20,616.86x = 251,317,093.75
  5. Step 5: Solve for x
    x = 251,317,093.75/20,616.86
  6. Step 6: Final answer
    x = 12,189.89

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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.