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Finding the Fourth Proportional to 17,972.49, 24,801.70 and 10,014.54

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Solution

The fourth proportional to 17,972.49, 24,801.70 and 10,014.54 is: 13,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,972.49 : 24,801.70 = 10,014.54 : x
  2. Step 2: Convert to fraction form
    17,972.49/24,801.70 = 10,014.54/x
  3. Step 3: Cross multiply
    17,972.49x = 24,801.70 × 10,014.54
  4. Step 4: Simplify right side
    17,972.49x = 248,377,591.68
  5. Step 5: Solve for x
    x = 248,377,591.68/17,972.49
  6. Step 6: Final answer
    x = 13,819.88

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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.