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Finding the Fourth Proportional to 13,175.33, 19,764.02 and 3,815.49

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Solution

The fourth proportional to 13,175.33, 19,764.02 and 3,815.49 is: 5,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.33 : 19,764.02 = 3,815.49 : x
  2. Step 2: Convert to fraction form
    13,175.33/19,764.02 = 3,815.49/x
  3. Step 3: Cross multiply
    13,175.33x = 19,764.02 × 3,815.49
  4. Step 4: Simplify right side
    13,175.33x = 75,409,401.59
  5. Step 5: Solve for x
    x = 75,409,401.59/13,175.33
  6. Step 6: Final answer
    x = 5,723.53

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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.