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Finding the Fourth Proportional to 13,884.96, 20,805.57 and 7,635.69

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Solution

The fourth proportional to 13,884.96, 20,805.57 and 7,635.69 is: 11,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.96 : 20,805.57 = 7,635.69 : x
  2. Step 2: Convert to fraction form
    13,884.96/20,805.57 = 7,635.69/x
  3. Step 3: Cross multiply
    13,884.96x = 20,805.57 × 7,635.69
  4. Step 4: Simplify right side
    13,884.96x = 158,864,882.79
  5. Step 5: Solve for x
    x = 158,864,882.79/13,884.96
  6. Step 6: Final answer
    x = 11,441.51

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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.