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Finding the Fourth Proportional to 16,065.38, 24,082.06 and 7,743.03

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Solution

The fourth proportional to 16,065.38, 24,082.06 and 7,743.03 is: 11,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,065.38 : 24,082.06 = 7,743.03 : x
  2. Step 2: Convert to fraction form
    16,065.38/24,082.06 = 7,743.03/x
  3. Step 3: Cross multiply
    16,065.38x = 24,082.06 × 7,743.03
  4. Step 4: Simplify right side
    16,065.38x = 186,468,113.04
  5. Step 5: Solve for x
    x = 186,468,113.04/16,065.38
  6. Step 6: Final answer
    x = 11,606.83

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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.