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Finding the Fourth Proportional to 13,707.78, 20,561.66 and 3,847.92

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Solution

The fourth proportional to 13,707.78, 20,561.66 and 3,847.92 is: 5,771.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.78 : 20,561.66 = 3,847.92 : x
  2. Step 2: Convert to fraction form
    13,707.78/20,561.66 = 3,847.92/x
  3. Step 3: Cross multiply
    13,707.78x = 20,561.66 × 3,847.92
  4. Step 4: Simplify right side
    13,707.78x = 79,119,622.75
  5. Step 5: Solve for x
    x = 79,119,622.75/13,707.78
  6. Step 6: Final answer
    x = 5,771.88

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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.