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Finding the Fourth Proportional to 13,396.68, 20,214.99 and 12,857.22

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Solution

The fourth proportional to 13,396.68, 20,214.99 and 12,857.22 is: 19,400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,396.68 : 20,214.99 = 12,857.22 : x
  2. Step 2: Convert to fraction form
    13,396.68/20,214.99 = 12,857.22/x
  3. Step 3: Cross multiply
    13,396.68x = 20,214.99 × 12,857.22
  4. Step 4: Simplify right side
    13,396.68x = 259,908,573.73
  5. Step 5: Solve for x
    x = 259,908,573.73/13,396.68
  6. Step 6: Final answer
    x = 19,400.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.