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Finding the Fourth Proportional to 12,716.88, 19,072.80 and 10,266

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Solution

The fourth proportional to 12,716.88, 19,072.80 and 10,266 is: 15,396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.88 : 19,072.80 = 10,266 : x
  2. Step 2: Convert to fraction form
    12,716.88/19,072.80 = 10,266/x
  3. Step 3: Cross multiply
    12,716.88x = 19,072.80 × 10,266
  4. Step 4: Simplify right side
    12,716.88x = 195,801,364.80
  5. Step 5: Solve for x
    x = 195,801,364.80/12,716.88
  6. Step 6: Final answer
    x = 15,396.97

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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.