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Finding the Fourth Proportional to 13,137.20, 19,705.80 and 12,266.80

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Solution

The fourth proportional to 13,137.20, 19,705.80 and 12,266.80 is: 18,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.20 : 19,705.80 = 12,266.80 : x
  2. Step 2: Convert to fraction form
    13,137.20/19,705.80 = 12,266.80/x
  3. Step 3: Cross multiply
    13,137.20x = 19,705.80 × 12,266.80
  4. Step 4: Simplify right side
    13,137.20x = 241,727,107.44
  5. Step 5: Solve for x
    x = 241,727,107.44/13,137.20
  6. Step 6: Final answer
    x = 18,400.20

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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.