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Finding the Fourth Proportional to 22,288, 33,432 and 6,705.64

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Solution

The fourth proportional to 22,288, 33,432 and 6,705.64 is: 10,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,288 : 33,432 = 6,705.64 : x
  2. Step 2: Convert to fraction form
    22,288/33,432 = 6,705.64/x
  3. Step 3: Cross multiply
    22,288x = 33,432 × 6,705.64
  4. Step 4: Simplify right side
    22,288x = 224,182,956.48
  5. Step 5: Solve for x
    x = 224,182,956.48/22,288
  6. Step 6: Final answer
    x = 10,058.46

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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.