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Finding the Fourth Proportional to 13,548.66, 20,315.70 and 5,230.80

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Solution

The fourth proportional to 13,548.66, 20,315.70 and 5,230.80 is: 7,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.66 : 20,315.70 = 5,230.80 : x
  2. Step 2: Convert to fraction form
    13,548.66/20,315.70 = 5,230.80/x
  3. Step 3: Cross multiply
    13,548.66x = 20,315.70 × 5,230.80
  4. Step 4: Simplify right side
    13,548.66x = 106,267,363.56
  5. Step 5: Solve for x
    x = 106,267,363.56/13,548.66
  6. Step 6: Final answer
    x = 7,843.39

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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.