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Finding the Fourth Proportional to 23,147.92, 34,723.50 and 11,458

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Solution

The fourth proportional to 23,147.92, 34,723.50 and 11,458 is: 17,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,147.92 : 34,723.50 = 11,458 : x
  2. Step 2: Convert to fraction form
    23,147.92/34,723.50 = 11,458/x
  3. Step 3: Cross multiply
    23,147.92x = 34,723.50 × 11,458
  4. Step 4: Simplify right side
    23,147.92x = 397,861,863
  5. Step 5: Solve for x
    x = 397,861,863/23,147.92
  6. Step 6: Final answer
    x = 17,187.80

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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.