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Finding the Fourth Proportional to 16,177.94, 24,266.92 and 4,491.17

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Solution

The fourth proportional to 16,177.94, 24,266.92 and 4,491.17 is: 6,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.94 : 24,266.92 = 4,491.17 : x
  2. Step 2: Convert to fraction form
    16,177.94/24,266.92 = 4,491.17/x
  3. Step 3: Cross multiply
    16,177.94x = 24,266.92 × 4,491.17
  4. Step 4: Simplify right side
    16,177.94x = 108,986,863.10
  5. Step 5: Solve for x
    x = 108,986,863.10/16,177.94
  6. Step 6: Final answer
    x = 6,736.76

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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.