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Finding the Fourth Proportional to 14,873, 20,524.98 and 8,249

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Solution

The fourth proportional to 14,873, 20,524.98 and 8,249 is: 11,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,873 : 20,524.98 = 8,249 : x
  2. Step 2: Convert to fraction form
    14,873/20,524.98 = 8,249/x
  3. Step 3: Cross multiply
    14,873x = 20,524.98 × 8,249
  4. Step 4: Simplify right side
    14,873x = 169,310,560.02
  5. Step 5: Solve for x
    x = 169,310,560.02/14,873
  6. Step 6: Final answer
    x = 11,383.75

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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.