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Finding the Fourth Proportional to 12,213.68, 16,857.60 and 10,114.16

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Solution

The fourth proportional to 12,213.68, 16,857.60 and 10,114.16 is: 13,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.68 : 16,857.60 = 10,114.16 : x
  2. Step 2: Convert to fraction form
    12,213.68/16,857.60 = 10,114.16/x
  3. Step 3: Cross multiply
    12,213.68x = 16,857.60 × 10,114.16
  4. Step 4: Simplify right side
    12,213.68x = 170,500,463.62
  5. Step 5: Solve for x
    x = 170,500,463.62/12,213.68
  6. Step 6: Final answer
    x = 13,959.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.