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Finding the Fourth Proportional to 17,821.98, 24,592.17 and 10,270.79

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Solution

The fourth proportional to 17,821.98, 24,592.17 and 10,270.79 is: 14,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.98 : 24,592.17 = 10,270.79 : x
  2. Step 2: Convert to fraction form
    17,821.98/24,592.17 = 10,270.79/x
  3. Step 3: Cross multiply
    17,821.98x = 24,592.17 × 10,270.79
  4. Step 4: Simplify right side
    17,821.98x = 252,581,013.71
  5. Step 5: Solve for x
    x = 252,581,013.71/17,821.98
  6. Step 6: Final answer
    x = 14,172.44

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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.