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Finding the Fourth Proportional to 13,707.51, 20,559.41 and 3,847.55

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Solution

The fourth proportional to 13,707.51, 20,559.41 and 3,847.55 is: 5,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.51 : 20,559.41 = 3,847.55 : x
  2. Step 2: Convert to fraction form
    13,707.51/20,559.41 = 3,847.55/x
  3. Step 3: Cross multiply
    13,707.51x = 20,559.41 × 3,847.55
  4. Step 4: Simplify right side
    13,707.51x = 79,103,235.91
  5. Step 5: Solve for x
    x = 79,103,235.91/13,707.51
  6. Step 6: Final answer
    x = 5,770.80

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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.