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Finding the Fourth Proportional to 22,634.92, 33,913.18 and 12,253.80

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Solution

The fourth proportional to 22,634.92, 33,913.18 and 12,253.80 is: 18,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634.92 : 33,913.18 = 12,253.80 : x
  2. Step 2: Convert to fraction form
    22,634.92/33,913.18 = 12,253.80/x
  3. Step 3: Cross multiply
    22,634.92x = 33,913.18 × 12,253.80
  4. Step 4: Simplify right side
    22,634.92x = 415,565,325.08
  5. Step 5: Solve for x
    x = 415,565,325.08/22,634.92
  6. Step 6: Final answer
    x = 18,359.48

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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.