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Finding the Fourth Proportional to 22,436.44, 33,659 and 7,646.20

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Solution

The fourth proportional to 22,436.44, 33,659 and 7,646.20 is: 11,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,436.44 : 33,659 = 7,646.20 : x
  2. Step 2: Convert to fraction form
    22,436.44/33,659 = 7,646.20/x
  3. Step 3: Cross multiply
    22,436.44x = 33,659 × 7,646.20
  4. Step 4: Simplify right side
    22,436.44x = 257,363,445.80
  5. Step 5: Solve for x
    x = 257,363,445.80/22,436.44
  6. Step 6: Final answer
    x = 11,470.78

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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.