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Finding the Fourth Proportional to 27,266.56, 40,908.48 and 9,736

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Solution

The fourth proportional to 27,266.56, 40,908.48 and 9,736 is: 14,607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,266.56 : 40,908.48 = 9,736 : x
  2. Step 2: Convert to fraction form
    27,266.56/40,908.48 = 9,736/x
  3. Step 3: Cross multiply
    27,266.56x = 40,908.48 × 9,736
  4. Step 4: Simplify right side
    27,266.56x = 398,284,961.28
  5. Step 5: Solve for x
    x = 398,284,961.28/27,266.56
  6. Step 6: Final answer
    x = 14,607.09

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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.