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Finding the Fourth Proportional to 13,523.16, 20,284.60 and 4,163.16

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Solution

The fourth proportional to 13,523.16, 20,284.60 and 4,163.16 is: 6,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.16 : 20,284.60 = 4,163.16 : x
  2. Step 2: Convert to fraction form
    13,523.16/20,284.60 = 4,163.16/x
  3. Step 3: Cross multiply
    13,523.16x = 20,284.60 × 4,163.16
  4. Step 4: Simplify right side
    13,523.16x = 84,448,035.34
  5. Step 5: Solve for x
    x = 84,448,035.34/13,523.16
  6. Step 6: Final answer
    x = 6,244.70

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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.