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Finding the Fourth Proportional to 13,454.54, 20,180.99 and 5,019.42

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Solution

The fourth proportional to 13,454.54, 20,180.99 and 5,019.42 is: 7,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.54 : 20,180.99 = 5,019.42 : x
  2. Step 2: Convert to fraction form
    13,454.54/20,180.99 = 5,019.42/x
  3. Step 3: Cross multiply
    13,454.54x = 20,180.99 × 5,019.42
  4. Step 4: Simplify right side
    13,454.54x = 101,296,864.83
  5. Step 5: Solve for x
    x = 101,296,864.83/13,454.54
  6. Step 6: Final answer
    x = 7,528.82

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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.