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Finding the Fourth Proportional to 12,823.68, 17,694.72 and 8,114.40

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Solution

The fourth proportional to 12,823.68, 17,694.72 and 8,114.40 is: 11,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.68 : 17,694.72 = 8,114.40 : x
  2. Step 2: Convert to fraction form
    12,823.68/17,694.72 = 8,114.40/x
  3. Step 3: Cross multiply
    12,823.68x = 17,694.72 × 8,114.40
  4. Step 4: Simplify right side
    12,823.68x = 143,582,035.97
  5. Step 5: Solve for x
    x = 143,582,035.97/12,823.68
  6. Step 6: Final answer
    x = 11,196.63

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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.