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Finding the Fourth Proportional to 13,012, 19,520.46 and 5,221.42

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Solution

The fourth proportional to 13,012, 19,520.46 and 5,221.42 is: 7,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012 : 19,520.46 = 5,221.42 : x
  2. Step 2: Convert to fraction form
    13,012/19,520.46 = 5,221.42/x
  3. Step 3: Cross multiply
    13,012x = 19,520.46 × 5,221.42
  4. Step 4: Simplify right side
    13,012x = 101,924,520.25
  5. Step 5: Solve for x
    x = 101,924,520.25/13,012
  6. Step 6: Final answer
    x = 7,833.12

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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.