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Finding the Fourth Proportional to 27,930.90, 41,892.30 and 8,207.40

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Solution

The fourth proportional to 27,930.90, 41,892.30 and 8,207.40 is: 12,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,930.90 : 41,892.30 = 8,207.40 : x
  2. Step 2: Convert to fraction form
    27,930.90/41,892.30 = 8,207.40/x
  3. Step 3: Cross multiply
    27,930.90x = 41,892.30 × 8,207.40
  4. Step 4: Simplify right side
    27,930.90x = 343,826,863.02
  5. Step 5: Solve for x
    x = 343,826,863.02/27,930.90
  6. Step 6: Final answer
    x = 12,309.91

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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.