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Finding the Fourth Proportional to 20,653.52, 30,959 and 8,168.48

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Solution

The fourth proportional to 20,653.52, 30,959 and 8,168.48 is: 12,244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,653.52 : 30,959 = 8,168.48 : x
  2. Step 2: Convert to fraction form
    20,653.52/30,959 = 8,168.48/x
  3. Step 3: Cross multiply
    20,653.52x = 30,959 × 8,168.48
  4. Step 4: Simplify right side
    20,653.52x = 252,887,972.32
  5. Step 5: Solve for x
    x = 252,887,972.32/20,653.52
  6. Step 6: Final answer
    x = 12,244.30

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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.