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Finding the Fourth Proportional to 12,685.20, 19,027.80 and 6,853.20

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Solution

The fourth proportional to 12,685.20, 19,027.80 and 6,853.20 is: 10,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.20 : 19,027.80 = 6,853.20 : x
  2. Step 2: Convert to fraction form
    12,685.20/19,027.80 = 6,853.20/x
  3. Step 3: Cross multiply
    12,685.20x = 19,027.80 × 6,853.20
  4. Step 4: Simplify right side
    12,685.20x = 130,401,318.96
  5. Step 5: Solve for x
    x = 130,401,318.96/12,685.20
  6. Step 6: Final answer
    x = 10,279.80

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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.