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Finding the Fourth Proportional to 13,662.82, 20,485.23 and 5,343.76

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Solution

The fourth proportional to 13,662.82, 20,485.23 and 5,343.76 is: 8,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.82 : 20,485.23 = 5,343.76 : x
  2. Step 2: Convert to fraction form
    13,662.82/20,485.23 = 5,343.76/x
  3. Step 3: Cross multiply
    13,662.82x = 20,485.23 × 5,343.76
  4. Step 4: Simplify right side
    13,662.82x = 109,468,152.66
  5. Step 5: Solve for x
    x = 109,468,152.66/13,662.82
  6. Step 6: Final answer
    x = 8,012.12

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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.