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Finding the Fourth Proportional to 22,434.38, 30,959.06 and 12,225.54

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Solution

The fourth proportional to 22,434.38, 30,959.06 and 12,225.54 is: 16,871.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,434.38 : 30,959.06 = 12,225.54 : x
  2. Step 2: Convert to fraction form
    22,434.38/30,959.06 = 12,225.54/x
  3. Step 3: Cross multiply
    22,434.38x = 30,959.06 × 12,225.54
  4. Step 4: Simplify right side
    22,434.38x = 378,491,226.39
  5. Step 5: Solve for x
    x = 378,491,226.39/22,434.38
  6. Step 6: Final answer
    x = 16,871.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.