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Finding the Fourth Proportional to 15,073, 20,800.78 and 8,449

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Solution

The fourth proportional to 15,073, 20,800.78 and 8,449 is: 11,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,073 : 20,800.78 = 8,449 : x
  2. Step 2: Convert to fraction form
    15,073/20,800.78 = 8,449/x
  3. Step 3: Cross multiply
    15,073x = 20,800.78 × 8,449
  4. Step 4: Simplify right side
    15,073x = 175,745,790.22
  5. Step 5: Solve for x
    x = 175,745,790.22/15,073
  6. Step 6: Final answer
    x = 11,659.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.