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Finding the Fourth Proportional to 23,980.92, 35,974.66 and 8,181.70

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Solution

The fourth proportional to 23,980.92, 35,974.66 and 8,181.70 is: 12,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,980.92 : 35,974.66 = 8,181.70 : x
  2. Step 2: Convert to fraction form
    23,980.92/35,974.66 = 8,181.70/x
  3. Step 3: Cross multiply
    23,980.92x = 35,974.66 × 8,181.70
  4. Step 4: Simplify right side
    23,980.92x = 294,333,875.72
  5. Step 5: Solve for x
    x = 294,333,875.72/23,980.92
  6. Step 6: Final answer
    x = 12,273.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.