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Finding the Fourth Proportional to 27,614.90, 41,415.40 and 7,893.56

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Solution

The fourth proportional to 27,614.90, 41,415.40 and 7,893.56 is: 11,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614.90 : 41,415.40 = 7,893.56 : x
  2. Step 2: Convert to fraction form
    27,614.90/41,415.40 = 7,893.56/x
  3. Step 3: Cross multiply
    27,614.90x = 41,415.40 × 7,893.56
  4. Step 4: Simplify right side
    27,614.90x = 326,914,944.82
  5. Step 5: Solve for x
    x = 326,914,944.82/27,614.90
  6. Step 6: Final answer
    x = 11,838.35

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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.