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Finding the Fourth Proportional to 27,097.48, 40,646.22 and 17,861.32

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Solution

The fourth proportional to 27,097.48, 40,646.22 and 17,861.32 is: 26,791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.48 : 40,646.22 = 17,861.32 : x
  2. Step 2: Convert to fraction form
    27,097.48/40,646.22 = 17,861.32/x
  3. Step 3: Cross multiply
    27,097.48x = 40,646.22 × 17,861.32
  4. Step 4: Simplify right side
    27,097.48x = 725,995,142.21
  5. Step 5: Solve for x
    x = 725,995,142.21/27,097.48
  6. Step 6: Final answer
    x = 26,791.98

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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.