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Finding the Fourth Proportional to 17,401.76, 24,013.10 and 10,231.97

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Solution

The fourth proportional to 17,401.76, 24,013.10 and 10,231.97 is: 14,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,401.76 : 24,013.10 = 10,231.97 : x
  2. Step 2: Convert to fraction form
    17,401.76/24,013.10 = 10,231.97/x
  3. Step 3: Cross multiply
    17,401.76x = 24,013.10 × 10,231.97
  4. Step 4: Simplify right side
    17,401.76x = 245,701,166.77
  5. Step 5: Solve for x
    x = 245,701,166.77/17,401.76
  6. Step 6: Final answer
    x = 14,119.33

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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.