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Finding the Fourth Proportional to 10,857.20, 16,241.22 and 8,670.20

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Solution

The fourth proportional to 10,857.20, 16,241.22 and 8,670.20 is: 12,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.20 : 16,241.22 = 8,670.20 : x
  2. Step 2: Convert to fraction form
    10,857.20/16,241.22 = 8,670.20/x
  3. Step 3: Cross multiply
    10,857.20x = 16,241.22 × 8,670.20
  4. Step 4: Simplify right side
    10,857.20x = 140,814,625.64
  5. Step 5: Solve for x
    x = 140,814,625.64/10,857.20
  6. Step 6: Final answer
    x = 12,969.70

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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.