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Finding the Fourth Proportional to 13,488.42, 20,232.83 and 5,168.86

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Solution

The fourth proportional to 13,488.42, 20,232.83 and 5,168.86 is: 7,753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.42 : 20,232.83 = 5,168.86 : x
  2. Step 2: Convert to fraction form
    13,488.42/20,232.83 = 5,168.86/x
  3. Step 3: Cross multiply
    13,488.42x = 20,232.83 × 5,168.86
  4. Step 4: Simplify right side
    13,488.42x = 104,580,589.25
  5. Step 5: Solve for x
    x = 104,580,589.25/13,488.42
  6. Step 6: Final answer
    x = 7,753.36

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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.