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Finding the Fourth Proportional to 27,102.29, 37,416.21 and 18,609.44

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Solution

The fourth proportional to 27,102.29, 37,416.21 and 18,609.44 is: 25,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.29 : 37,416.21 = 18,609.44 : x
  2. Step 2: Convert to fraction form
    27,102.29/37,416.21 = 18,609.44/x
  3. Step 3: Cross multiply
    27,102.29x = 37,416.21 × 18,609.44
  4. Step 4: Simplify right side
    27,102.29x = 696,294,715.02
  5. Step 5: Solve for x
    x = 696,294,715.02/27,102.29
  6. Step 6: Final answer
    x = 25,691.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.