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Finding the Fourth Proportional to 23,287.25, 34,944.89 and 8,497.46

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Solution

The fourth proportional to 23,287.25, 34,944.89 and 8,497.46 is: 12,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,287.25 : 34,944.89 = 8,497.46 : x
  2. Step 2: Convert to fraction form
    23,287.25/34,944.89 = 8,497.46/x
  3. Step 3: Cross multiply
    23,287.25x = 34,944.89 × 8,497.46
  4. Step 4: Simplify right side
    23,287.25x = 296,942,587.77
  5. Step 5: Solve for x
    x = 296,942,587.77/23,287.25
  6. Step 6: Final answer
    x = 12,751.30

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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.