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Finding the Fourth Proportional to 11,401.70, 17,102.36 and 9,449.78

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Solution

The fourth proportional to 11,401.70, 17,102.36 and 9,449.78 is: 14,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,401.70 : 17,102.36 = 9,449.78 : x
  2. Step 2: Convert to fraction form
    11,401.70/17,102.36 = 9,449.78/x
  3. Step 3: Cross multiply
    11,401.70x = 17,102.36 × 9,449.78
  4. Step 4: Simplify right side
    11,401.70x = 161,613,539.48
  5. Step 5: Solve for x
    x = 161,613,539.48/11,401.70
  6. Step 6: Final answer
    x = 14,174.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.