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Finding the Fourth Proportional to 12,716.42, 17,539.02 and 11,141.78

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Solution

The fourth proportional to 12,716.42, 17,539.02 and 11,141.78 is: 15,367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.42 : 17,539.02 = 11,141.78 : x
  2. Step 2: Convert to fraction form
    12,716.42/17,539.02 = 11,141.78/x
  3. Step 3: Cross multiply
    12,716.42x = 17,539.02 × 11,141.78
  4. Step 4: Simplify right side
    12,716.42x = 195,415,902.26
  5. Step 5: Solve for x
    x = 195,415,902.26/12,716.42
  6. Step 6: Final answer
    x = 15,367.21

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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.