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Finding the Fourth Proportional to 27,242.48, 40,858.82 and 7,516.14

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Solution

The fourth proportional to 27,242.48, 40,858.82 and 7,516.14 is: 11,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242.48 : 40,858.82 = 7,516.14 : x
  2. Step 2: Convert to fraction form
    27,242.48/40,858.82 = 7,516.14/x
  3. Step 3: Cross multiply
    27,242.48x = 40,858.82 × 7,516.14
  4. Step 4: Simplify right side
    27,242.48x = 307,100,611.35
  5. Step 5: Solve for x
    x = 307,100,611.35/27,242.48
  6. Step 6: Final answer
    x = 11,272.86

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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.