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Finding the Fourth Proportional to 22,192, 33,288 and 12,951.52

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Solution

The fourth proportional to 22,192, 33,288 and 12,951.52 is: 19,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,192 : 33,288 = 12,951.52 : x
  2. Step 2: Convert to fraction form
    22,192/33,288 = 12,951.52/x
  3. Step 3: Cross multiply
    22,192x = 33,288 × 12,951.52
  4. Step 4: Simplify right side
    22,192x = 431,130,197.76
  5. Step 5: Solve for x
    x = 431,130,197.76/22,192
  6. Step 6: Final answer
    x = 19,427.28

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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.