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Finding the Fourth Proportional to 16,106.88, 22,228.74 and 9,033.96

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Solution

The fourth proportional to 16,106.88, 22,228.74 and 9,033.96 is: 12,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.88 : 22,228.74 = 9,033.96 : x
  2. Step 2: Convert to fraction form
    16,106.88/22,228.74 = 9,033.96/x
  3. Step 3: Cross multiply
    16,106.88x = 22,228.74 × 9,033.96
  4. Step 4: Simplify right side
    16,106.88x = 200,813,548.01
  5. Step 5: Solve for x
    x = 200,813,548.01/16,106.88
  6. Step 6: Final answer
    x = 12,467.56

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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.