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Finding the Fourth Proportional to 27,409.68, 41,101.56 and 12,614.22

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Solution

The fourth proportional to 27,409.68, 41,101.56 and 12,614.22 is: 18,915.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.68 : 41,101.56 = 12,614.22 : x
  2. Step 2: Convert to fraction form
    27,409.68/41,101.56 = 12,614.22/x
  3. Step 3: Cross multiply
    27,409.68x = 41,101.56 × 12,614.22
  4. Step 4: Simplify right side
    27,409.68x = 518,464,120.18
  5. Step 5: Solve for x
    x = 518,464,120.18/27,409.68
  6. Step 6: Final answer
    x = 18,915.37

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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.