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Finding the Fourth Proportional to 23,151.92, 34,727.87 and 9,310.64

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Solution

The fourth proportional to 23,151.92, 34,727.87 and 9,310.64 is: 13,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,151.92 : 34,727.87 = 9,310.64 : x
  2. Step 2: Convert to fraction form
    23,151.92/34,727.87 = 9,310.64/x
  3. Step 3: Cross multiply
    23,151.92x = 34,727.87 × 9,310.64
  4. Step 4: Simplify right side
    23,151.92x = 323,338,475.34
  5. Step 5: Solve for x
    x = 323,338,475.34/23,151.92
  6. Step 6: Final answer
    x = 13,965.95

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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.