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Finding the Fourth Proportional to 13,474.68, 20,214.82 and 5,683.56

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Solution

The fourth proportional to 13,474.68, 20,214.82 and 5,683.56 is: 8,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.68 : 20,214.82 = 5,683.56 : x
  2. Step 2: Convert to fraction form
    13,474.68/20,214.82 = 5,683.56/x
  3. Step 3: Cross multiply
    13,474.68x = 20,214.82 × 5,683.56
  4. Step 4: Simplify right side
    13,474.68x = 114,892,142.36
  5. Step 5: Solve for x
    x = 114,892,142.36/13,474.68
  6. Step 6: Final answer
    x = 8,526.52

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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.