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Finding the Fourth Proportional to 17,986.92, 24,821.70 and 10,029

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Solution

The fourth proportional to 17,986.92, 24,821.70 and 10,029 is: 13,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,986.92 : 24,821.70 = 10,029 : x
  2. Step 2: Convert to fraction form
    17,986.92/24,821.70 = 10,029/x
  3. Step 3: Cross multiply
    17,986.92x = 24,821.70 × 10,029
  4. Step 4: Simplify right side
    17,986.92x = 248,936,829.30
  5. Step 5: Solve for x
    x = 248,936,829.30/17,986.92
  6. Step 6: Final answer
    x = 13,839.88

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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.