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Finding the Fourth Proportional to 23,642.92, 35,467.89 and 8,650.81

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Solution

The fourth proportional to 23,642.92, 35,467.89 and 8,650.81 is: 12,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.92 : 35,467.89 = 8,650.81 : x
  2. Step 2: Convert to fraction form
    23,642.92/35,467.89 = 8,650.81/x
  3. Step 3: Cross multiply
    23,642.92x = 35,467.89 × 8,650.81
  4. Step 4: Simplify right side
    23,642.92x = 306,825,977.49
  5. Step 5: Solve for x
    x = 306,825,977.49/23,642.92
  6. Step 6: Final answer
    x = 12,977.50

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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.