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Finding the Fourth Proportional to 15,902.20, 21,944.10 and 8,828.20

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Solution

The fourth proportional to 15,902.20, 21,944.10 and 8,828.20 is: 12,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.20 : 21,944.10 = 8,828.20 : x
  2. Step 2: Convert to fraction form
    15,902.20/21,944.10 = 8,828.20/x
  3. Step 3: Cross multiply
    15,902.20x = 21,944.10 × 8,828.20
  4. Step 4: Simplify right side
    15,902.20x = 193,726,903.62
  5. Step 5: Solve for x
    x = 193,726,903.62/15,902.20
  6. Step 6: Final answer
    x = 12,182.40

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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.