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Finding the Fourth Proportional to 27,239.34, 40,863.12 and 9,707.82

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Solution

The fourth proportional to 27,239.34, 40,863.12 and 9,707.82 is: 14,563.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,239.34 : 40,863.12 = 9,707.82 : x
  2. Step 2: Convert to fraction form
    27,239.34/40,863.12 = 9,707.82/x
  3. Step 3: Cross multiply
    27,239.34x = 40,863.12 × 9,707.82
  4. Step 4: Simplify right side
    27,239.34x = 396,691,813.60
  5. Step 5: Solve for x
    x = 396,691,813.60/27,239.34
  6. Step 6: Final answer
    x = 14,563.19

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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.