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Finding the Fourth Proportional to 19,882.26, 29,803.95 and 8,203.86

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Solution

The fourth proportional to 19,882.26, 29,803.95 and 8,203.86 is: 12,297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.26 : 29,803.95 = 8,203.86 : x
  2. Step 2: Convert to fraction form
    19,882.26/29,803.95 = 8,203.86/x
  3. Step 3: Cross multiply
    19,882.26x = 29,803.95 × 8,203.86
  4. Step 4: Simplify right side
    19,882.26x = 244,507,433.25
  5. Step 5: Solve for x
    x = 244,507,433.25/19,882.26
  6. Step 6: Final answer
    x = 12,297.77

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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.