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Finding the Fourth Proportional to 19,838.72, 29,757.78 and 8,143.74

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Solution

The fourth proportional to 19,838.72, 29,757.78 and 8,143.74 is: 12,215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.72 : 29,757.78 = 8,143.74 : x
  2. Step 2: Convert to fraction form
    19,838.72/29,757.78 = 8,143.74/x
  3. Step 3: Cross multiply
    19,838.72x = 29,757.78 × 8,143.74
  4. Step 4: Simplify right side
    19,838.72x = 242,339,623.30
  5. Step 5: Solve for x
    x = 242,339,623.30/19,838.72
  6. Step 6: Final answer
    x = 12,215.49

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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.