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Finding the Fourth Proportional to 22,525.92, 33,797.52 and 8,676

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Solution

The fourth proportional to 22,525.92, 33,797.52 and 8,676 is: 13,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,525.92 : 33,797.52 = 8,676 : x
  2. Step 2: Convert to fraction form
    22,525.92/33,797.52 = 8,676/x
  3. Step 3: Cross multiply
    22,525.92x = 33,797.52 × 8,676
  4. Step 4: Simplify right side
    22,525.92x = 293,227,283.52
  5. Step 5: Solve for x
    x = 293,227,283.52/22,525.92
  6. Step 6: Final answer
    x = 13,017.33

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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.