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Finding the Fourth Proportional to 13,704.78, 20,559.32 and 5,807.32

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Solution

The fourth proportional to 13,704.78, 20,559.32 and 5,807.32 is: 8,711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.78 : 20,559.32 = 5,807.32 : x
  2. Step 2: Convert to fraction form
    13,704.78/20,559.32 = 5,807.32/x
  3. Step 3: Cross multiply
    13,704.78x = 20,559.32 × 5,807.32
  4. Step 4: Simplify right side
    13,704.78x = 119,394,491.56
  5. Step 5: Solve for x
    x = 119,394,491.56/13,704.78
  6. Step 6: Final answer
    x = 8,711.88

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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.