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Finding the Fourth Proportional to 27,396.81, 41,094.27 and 11,597.49

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Solution

The fourth proportional to 27,396.81, 41,094.27 and 11,597.49 is: 17,395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,396.81 : 41,094.27 = 11,597.49 : x
  2. Step 2: Convert to fraction form
    27,396.81/41,094.27 = 11,597.49/x
  3. Step 3: Cross multiply
    27,396.81x = 41,094.27 × 11,597.49
  4. Step 4: Simplify right side
    27,396.81x = 476,590,385.38
  5. Step 5: Solve for x
    x = 476,590,385.38/27,396.81
  6. Step 6: Final answer
    x = 17,395.83

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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.