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Finding the Fourth Proportional to 13,404.05, 18,494.82 and 7,738.70

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Solution

The fourth proportional to 13,404.05, 18,494.82 and 7,738.70 is: 10,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404.05 : 18,494.82 = 7,738.70 : x
  2. Step 2: Convert to fraction form
    13,404.05/18,494.82 = 7,738.70/x
  3. Step 3: Cross multiply
    13,404.05x = 18,494.82 × 7,738.70
  4. Step 4: Simplify right side
    13,404.05x = 143,125,863.53
  5. Step 5: Solve for x
    x = 143,125,863.53/13,404.05
  6. Step 6: Final answer
    x = 10,677.81

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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.