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Finding the Fourth Proportional to 13,517.73, 18,653.34 and 7,850.67

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Solution

The fourth proportional to 13,517.73, 18,653.34 and 7,850.67 is: 10,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.73 : 18,653.34 = 7,850.67 : x
  2. Step 2: Convert to fraction form
    13,517.73/18,653.34 = 7,850.67/x
  3. Step 3: Cross multiply
    13,517.73x = 18,653.34 × 7,850.67
  4. Step 4: Simplify right side
    13,517.73x = 146,441,216.74
  5. Step 5: Solve for x
    x = 146,441,216.74/13,517.73
  6. Step 6: Final answer
    x = 10,833.27

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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.