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Finding the Fourth Proportional to 27,083.96, 40,632.57 and 9,314.90

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Solution

The fourth proportional to 27,083.96, 40,632.57 and 9,314.90 is: 13,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,083.96 : 40,632.57 = 9,314.90 : x
  2. Step 2: Convert to fraction form
    27,083.96/40,632.57 = 9,314.90/x
  3. Step 3: Cross multiply
    27,083.96x = 40,632.57 × 9,314.90
  4. Step 4: Simplify right side
    27,083.96x = 378,488,326.29
  5. Step 5: Solve for x
    x = 378,488,326.29/27,083.96
  6. Step 6: Final answer
    x = 13,974.63

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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.