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Finding the Fourth Proportional to 27,524.78, 37,984.03 and 14,949.42

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Solution

The fourth proportional to 27,524.78, 37,984.03 and 14,949.42 is: 20,630.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524.78 : 37,984.03 = 14,949.42 : x
  2. Step 2: Convert to fraction form
    27,524.78/37,984.03 = 14,949.42/x
  3. Step 3: Cross multiply
    27,524.78x = 37,984.03 × 14,949.42
  4. Step 4: Simplify right side
    27,524.78x = 567,839,217.76
  5. Step 5: Solve for x
    x = 567,839,217.76/27,524.78
  6. Step 6: Final answer
    x = 20,630.11

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