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Finding the Fourth Proportional to 20,497.14, 30,753.04 and 8,653.86

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Solution

The fourth proportional to 20,497.14, 30,753.04 and 8,653.86 is: 12,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.14 : 30,753.04 = 8,653.86 : x
  2. Step 2: Convert to fraction form
    20,497.14/30,753.04 = 8,653.86/x
  3. Step 3: Cross multiply
    20,497.14x = 30,753.04 × 8,653.86
  4. Step 4: Simplify right side
    20,497.14x = 266,132,502.73
  5. Step 5: Solve for x
    x = 266,132,502.73/20,497.14
  6. Step 6: Final answer
    x = 12,983.88

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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.