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Finding the Fourth Proportional to 22,357.52, 33,541.48 and 6,561.92

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Solution

The fourth proportional to 22,357.52, 33,541.48 and 6,561.92 is: 9,844.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.52 : 33,541.48 = 6,561.92 : x
  2. Step 2: Convert to fraction form
    22,357.52/33,541.48 = 6,561.92/x
  3. Step 3: Cross multiply
    22,357.52x = 33,541.48 × 6,561.92
  4. Step 4: Simplify right side
    22,357.52x = 220,096,508.44
  5. Step 5: Solve for x
    x = 220,096,508.44/22,357.52
  6. Step 6: Final answer
    x = 9,844.41

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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.