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Finding the Fourth Proportional to 18,564.77, 27,849.81 and 6,082.13

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Solution

The fourth proportional to 18,564.77, 27,849.81 and 6,082.13 is: 9,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.77 : 27,849.81 = 6,082.13 : x
  2. Step 2: Convert to fraction form
    18,564.77/27,849.81 = 6,082.13/x
  3. Step 3: Cross multiply
    18,564.77x = 27,849.81 × 6,082.13
  4. Step 4: Simplify right side
    18,564.77x = 169,386,257.33
  5. Step 5: Solve for x
    x = 169,386,257.33/18,564.77
  6. Step 6: Final answer
    x = 9,124.07

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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.