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Finding the Fourth Proportional to 27,476.96, 41,217.18 and 7,757.06

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Solution

The fourth proportional to 27,476.96, 41,217.18 and 7,757.06 is: 11,636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,476.96 : 41,217.18 = 7,757.06 : x
  2. Step 2: Convert to fraction form
    27,476.96/41,217.18 = 7,757.06/x
  3. Step 3: Cross multiply
    27,476.96x = 41,217.18 × 7,757.06
  4. Step 4: Simplify right side
    27,476.96x = 319,723,932.20
  5. Step 5: Solve for x
    x = 319,723,932.20/27,476.96
  6. Step 6: Final answer
    x = 11,636.08

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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.