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Finding the Fourth Proportional to 27,082.44, 40,624.74 and 9,549.72

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Solution

The fourth proportional to 27,082.44, 40,624.74 and 9,549.72 is: 14,324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082.44 : 40,624.74 = 9,549.72 : x
  2. Step 2: Convert to fraction form
    27,082.44/40,624.74 = 9,549.72/x
  3. Step 3: Cross multiply
    27,082.44x = 40,624.74 × 9,549.72
  4. Step 4: Simplify right side
    27,082.44x = 387,954,892.07
  5. Step 5: Solve for x
    x = 387,954,892.07/27,082.44
  6. Step 6: Final answer
    x = 14,324.96

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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.