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Finding the Fourth Proportional to 27,613.22, 41,421.19 and 7,894.68

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Solution

The fourth proportional to 27,613.22, 41,421.19 and 7,894.68 is: 11,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,613.22 : 41,421.19 = 7,894.68 : x
  2. Step 2: Convert to fraction form
    27,613.22/41,421.19 = 7,894.68/x
  3. Step 3: Cross multiply
    27,613.22x = 41,421.19 × 7,894.68
  4. Step 4: Simplify right side
    27,613.22x = 327,007,040.27
  5. Step 5: Solve for x
    x = 327,007,040.27/27,613.22
  6. Step 6: Final answer
    x = 11,842.41

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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.