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Finding the Fourth Proportional to 13,011.99, 19,520.46 and 5,221.41

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Solution

The fourth proportional to 13,011.99, 19,520.46 and 5,221.41 is: 7,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.99 : 19,520.46 = 5,221.41 : x
  2. Step 2: Convert to fraction form
    13,011.99/19,520.46 = 5,221.41/x
  3. Step 3: Cross multiply
    13,011.99x = 19,520.46 × 5,221.41
  4. Step 4: Simplify right side
    13,011.99x = 101,924,325.05
  5. Step 5: Solve for x
    x = 101,924,325.05/13,011.99
  6. Step 6: Final answer
    x = 7,833.11

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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.