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Finding the Fourth Proportional to 27,427.29, 41,132.43 and 9,894.84

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Solution

The fourth proportional to 27,427.29, 41,132.43 and 9,894.84 is: 14,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,427.29 : 41,132.43 = 9,894.84 : x
  2. Step 2: Convert to fraction form
    27,427.29/41,132.43 = 9,894.84/x
  3. Step 3: Cross multiply
    27,427.29x = 41,132.43 × 9,894.84
  4. Step 4: Simplify right side
    27,427.29x = 406,998,813.66
  5. Step 5: Solve for x
    x = 406,998,813.66/27,427.29
  6. Step 6: Final answer
    x = 14,839.19

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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.