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Finding the Fourth Proportional to 27,540.12, 41,315.04 and 9,776.22

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Solution

The fourth proportional to 27,540.12, 41,315.04 and 9,776.22 is: 14,666.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,540.12 : 41,315.04 = 9,776.22 : x
  2. Step 2: Convert to fraction form
    27,540.12/41,315.04 = 9,776.22/x
  3. Step 3: Cross multiply
    27,540.12x = 41,315.04 × 9,776.22
  4. Step 4: Simplify right side
    27,540.12x = 403,904,920.35
  5. Step 5: Solve for x
    x = 403,904,920.35/27,540.12
  6. Step 6: Final answer
    x = 14,666.06

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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.