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Finding the Fourth Proportional to 23,016.92, 34,532.66 and 8,225.50

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Solution

The fourth proportional to 23,016.92, 34,532.66 and 8,225.50 is: 12,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,016.92 : 34,532.66 = 8,225.50 : x
  2. Step 2: Convert to fraction form
    23,016.92/34,532.66 = 8,225.50/x
  3. Step 3: Cross multiply
    23,016.92x = 34,532.66 × 8,225.50
  4. Step 4: Simplify right side
    23,016.92x = 284,048,394.83
  5. Step 5: Solve for x
    x = 284,048,394.83/23,016.92
  6. Step 6: Final answer
    x = 12,340.85

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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.