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Finding the Fourth Proportional to 22,543.18, 33,807.60 and 7,748.54

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Solution

The fourth proportional to 22,543.18, 33,807.60 and 7,748.54 is: 11,620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,543.18 : 33,807.60 = 7,748.54 : x
  2. Step 2: Convert to fraction form
    22,543.18/33,807.60 = 7,748.54/x
  3. Step 3: Cross multiply
    22,543.18x = 33,807.60 × 7,748.54
  4. Step 4: Simplify right side
    22,543.18x = 261,959,540.90
  5. Step 5: Solve for x
    x = 261,959,540.90/22,543.18
  6. Step 6: Final answer
    x = 11,620.35

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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.