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Finding the Fourth Proportional to 16,205.94, 22,364.17 and 9,491.24

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Solution

The fourth proportional to 16,205.94, 22,364.17 and 9,491.24 is: 13,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.94 : 22,364.17 = 9,491.24 : x
  2. Step 2: Convert to fraction form
    16,205.94/22,364.17 = 9,491.24/x
  3. Step 3: Cross multiply
    16,205.94x = 22,364.17 × 9,491.24
  4. Step 4: Simplify right side
    16,205.94x = 212,263,737.05
  5. Step 5: Solve for x
    x = 212,263,737.05/16,205.94
  6. Step 6: Final answer
    x = 13,097.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.