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Finding the Fourth Proportional to 27,968.66, 41,943.00 and 9,245.24

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Solution

The fourth proportional to 27,968.66, 41,943.00 and 9,245.24 is: 13,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,968.66 : 41,943.00 = 9,245.24 : x
  2. Step 2: Convert to fraction form
    27,968.66/41,943.00 = 9,245.24/x
  3. Step 3: Cross multiply
    27,968.66x = 41,943.00 × 9,245.24
  4. Step 4: Simplify right side
    27,968.66x = 387,773,031.56
  5. Step 5: Solve for x
    x = 387,773,031.56/27,968.66
  6. Step 6: Final answer
    x = 13,864.56

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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.