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Finding the Fourth Proportional to 22,370, 33,562.32 and 6,787.64

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Solution

The fourth proportional to 22,370, 33,562.32 and 6,787.64 is: 10,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,370 : 33,562.32 = 6,787.64 : x
  2. Step 2: Convert to fraction form
    22,370/33,562.32 = 6,787.64/x
  3. Step 3: Cross multiply
    22,370x = 33,562.32 × 6,787.64
  4. Step 4: Simplify right side
    22,370x = 227,808,945.72
  5. Step 5: Solve for x
    x = 227,808,945.72/22,370
  6. Step 6: Final answer
    x = 10,183.68

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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.