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Finding the Fourth Proportional to 13,565.27, 20,344.16 and 3,704.94

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Solution

The fourth proportional to 13,565.27, 20,344.16 and 3,704.94 is: 5,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.27 : 20,344.16 = 3,704.94 : x
  2. Step 2: Convert to fraction form
    13,565.27/20,344.16 = 3,704.94/x
  3. Step 3: Cross multiply
    13,565.27x = 20,344.16 × 3,704.94
  4. Step 4: Simplify right side
    13,565.27x = 75,373,901.41
  5. Step 5: Solve for x
    x = 75,373,901.41/13,565.27
  6. Step 6: Final answer
    x = 5,556.39

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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.