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Finding the Fourth Proportional to 17,401.64, 24,013.92 and 9,847.83

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Solution

The fourth proportional to 17,401.64, 24,013.92 and 9,847.83 is: 13,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,401.64 : 24,013.92 = 9,847.83 : x
  2. Step 2: Convert to fraction form
    17,401.64/24,013.92 = 9,847.83/x
  3. Step 3: Cross multiply
    17,401.64x = 24,013.92 × 9,847.83
  4. Step 4: Simplify right side
    17,401.64x = 236,484,832.48
  5. Step 5: Solve for x
    x = 236,484,832.48/17,401.64
  6. Step 6: Final answer
    x = 13,589.81

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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.