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Finding the Fourth Proportional to 27,367.34, 41,026.16 and 9,833

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Solution

The fourth proportional to 27,367.34, 41,026.16 and 9,833 is: 14,740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,367.34 : 41,026.16 = 9,833 : x
  2. Step 2: Convert to fraction form
    27,367.34/41,026.16 = 9,833/x
  3. Step 3: Cross multiply
    27,367.34x = 41,026.16 × 9,833
  4. Step 4: Simplify right side
    27,367.34x = 403,410,231.28
  5. Step 5: Solve for x
    x = 403,410,231.28/27,367.34
  6. Step 6: Final answer
    x = 14,740.57

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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.