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Finding the Fourth Proportional to 27,462.96, 41,188.20 and 13,422.96

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Solution

The fourth proportional to 27,462.96, 41,188.20 and 13,422.96 is: 20,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,462.96 : 41,188.20 = 13,422.96 : x
  2. Step 2: Convert to fraction form
    27,462.96/41,188.20 = 13,422.96/x
  3. Step 3: Cross multiply
    27,462.96x = 41,188.20 × 13,422.96
  4. Step 4: Simplify right side
    27,462.96x = 552,867,561.07
  5. Step 5: Solve for x
    x = 552,867,561.07/27,462.96
  6. Step 6: Final answer
    x = 20,131.39

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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.