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Finding the Fourth Proportional to 17,401.66, 24,014.38 and 9,443.96

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Solution

The fourth proportional to 17,401.66, 24,014.38 and 9,443.96 is: 13,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,401.66 : 24,014.38 = 9,443.96 : x
  2. Step 2: Convert to fraction form
    17,401.66/24,014.38 = 9,443.96/x
  3. Step 3: Cross multiply
    17,401.66x = 24,014.38 × 9,443.96
  4. Step 4: Simplify right side
    17,401.66x = 226,790,844.14
  5. Step 5: Solve for x
    x = 226,790,844.14/17,401.66
  6. Step 6: Final answer
    x = 13,032.71

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Why These Related Problems?

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