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Finding the Fourth Proportional to 17,401.77, 24,014.46 and 9,444

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Solution

The fourth proportional to 17,401.77, 24,014.46 and 9,444 is: 13,032.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,401.77 : 24,014.46 = 9,444 : x
  2. Step 2: Convert to fraction form
    17,401.77/24,014.46 = 9,444/x
  3. Step 3: Cross multiply
    17,401.77x = 24,014.46 × 9,444
  4. Step 4: Simplify right side
    17,401.77x = 226,792,560.24
  5. Step 5: Solve for x
    x = 226,792,560.24/17,401.77
  6. Step 6: Final answer
    x = 13,032.73

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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.