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Finding the Fourth Proportional to 27,605.21, 41,378.04 and 13,548.87

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Solution

The fourth proportional to 27,605.21, 41,378.04 and 13,548.87 is: 20,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,605.21 : 41,378.04 = 13,548.87 : x
  2. Step 2: Convert to fraction form
    27,605.21/41,378.04 = 13,548.87/x
  3. Step 3: Cross multiply
    27,605.21x = 41,378.04 × 13,548.87
  4. Step 4: Simplify right side
    27,605.21x = 560,625,684.81
  5. Step 5: Solve for x
    x = 560,625,684.81/27,605.21
  6. Step 6: Final answer
    x = 20,308.69

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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.