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Finding the Fourth Proportional to 27,286.42, 40,929.63 and 9,755.19

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Solution

The fourth proportional to 27,286.42, 40,929.63 and 9,755.19 is: 14,632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,286.42 : 40,929.63 = 9,755.19 : x
  2. Step 2: Convert to fraction form
    27,286.42/40,929.63 = 9,755.19/x
  3. Step 3: Cross multiply
    27,286.42x = 40,929.63 × 9,755.19
  4. Step 4: Simplify right side
    27,286.42x = 399,276,317.28
  5. Step 5: Solve for x
    x = 399,276,317.28/27,286.42
  6. Step 6: Final answer
    x = 14,632.79

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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.