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Finding the Fourth Proportional to 13,404.97, 18,494.17 and 7,739.56

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Solution

The fourth proportional to 13,404.97, 18,494.17 and 7,739.56 is: 10,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404.97 : 18,494.17 = 7,739.56 : x
  2. Step 2: Convert to fraction form
    13,404.97/18,494.17 = 7,739.56/x
  3. Step 3: Cross multiply
    13,404.97x = 18,494.17 × 7,739.56
  4. Step 4: Simplify right side
    13,404.97x = 143,136,738.37
  5. Step 5: Solve for x
    x = 143,136,738.37/13,404.97
  6. Step 6: Final answer
    x = 10,677.89

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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.