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Finding the Fourth Proportional to 11,931.67, 16,469.48 and 8,405.20

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Solution

The fourth proportional to 11,931.67, 16,469.48 and 8,405.20 is: 11,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.67 : 16,469.48 = 8,405.20 : x
  2. Step 2: Convert to fraction form
    11,931.67/16,469.48 = 8,405.20/x
  3. Step 3: Cross multiply
    11,931.67x = 16,469.48 × 8,405.20
  4. Step 4: Simplify right side
    11,931.67x = 138,429,148.92
  5. Step 5: Solve for x
    x = 138,429,148.92/11,931.67
  6. Step 6: Final answer
    x = 11,601.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.