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Finding the Fourth Proportional to 16,438.11, 24,674.71 and 7,082.76

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Solution

The fourth proportional to 16,438.11, 24,674.71 and 7,082.76 is: 10,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.11 : 24,674.71 = 7,082.76 : x
  2. Step 2: Convert to fraction form
    16,438.11/24,674.71 = 7,082.76/x
  3. Step 3: Cross multiply
    16,438.11x = 24,674.71 × 7,082.76
  4. Step 4: Simplify right side
    16,438.11x = 174,765,049.00
  5. Step 5: Solve for x
    x = 174,765,049.00/16,438.11
  6. Step 6: Final answer
    x = 10,631.70

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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.