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Finding the Fourth Proportional to 13,704.18, 20,565.38 and 5,383.18

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Solution

The fourth proportional to 13,704.18, 20,565.38 and 5,383.18 is: 8,078.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.18 : 20,565.38 = 5,383.18 : x
  2. Step 2: Convert to fraction form
    13,704.18/20,565.38 = 5,383.18/x
  3. Step 3: Cross multiply
    13,704.18x = 20,565.38 × 5,383.18
  4. Step 4: Simplify right side
    13,704.18x = 110,707,142.31
  5. Step 5: Solve for x
    x = 110,707,142.31/13,704.18
  6. Step 6: Final answer
    x = 8,078.35

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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.