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Finding the Fourth Proportional to 11,759.64, 17,643.78 and 8,476.44

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Solution

The fourth proportional to 11,759.64, 17,643.78 and 8,476.44 is: 12,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.64 : 17,643.78 = 8,476.44 : x
  2. Step 2: Convert to fraction form
    11,759.64/17,643.78 = 8,476.44/x
  3. Step 3: Cross multiply
    11,759.64x = 17,643.78 × 8,476.44
  4. Step 4: Simplify right side
    11,759.64x = 149,556,442.54
  5. Step 5: Solve for x
    x = 149,556,442.54/11,759.64
  6. Step 6: Final answer
    x = 12,717.77

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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.