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Finding the Fourth Proportional to 27,399, 41,104.98 and 8,931

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Solution

The fourth proportional to 27,399, 41,104.98 and 8,931 is: 13,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,399 : 41,104.98 = 8,931 : x
  2. Step 2: Convert to fraction form
    27,399/41,104.98 = 8,931/x
  3. Step 3: Cross multiply
    27,399x = 41,104.98 × 8,931
  4. Step 4: Simplify right side
    27,399x = 367,108,576.38
  5. Step 5: Solve for x
    x = 367,108,576.38/27,399
  6. Step 6: Final answer
    x = 13,398.61

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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.