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Finding the Fourth Proportional to 13,682.64, 20,515.74 and 5,352.72

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Solution

The fourth proportional to 13,682.64, 20,515.74 and 5,352.72 is: 8,025.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.64 : 20,515.74 = 5,352.72 : x
  2. Step 2: Convert to fraction form
    13,682.64/20,515.74 = 5,352.72/x
  3. Step 3: Cross multiply
    13,682.64x = 20,515.74 × 5,352.72
  4. Step 4: Simplify right side
    13,682.64x = 109,815,011.81
  5. Step 5: Solve for x
    x = 109,815,011.81/13,682.64
  6. Step 6: Final answer
    x = 8,025.86

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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.