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Finding the Fourth Proportional to 16,106.87, 22,228.59 and 9,033.75

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Solution

The fourth proportional to 16,106.87, 22,228.59 and 9,033.75 is: 12,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.87 : 22,228.59 = 9,033.75 : x
  2. Step 2: Convert to fraction form
    16,106.87/22,228.59 = 9,033.75/x
  3. Step 3: Cross multiply
    16,106.87x = 22,228.59 × 9,033.75
  4. Step 4: Simplify right side
    16,106.87x = 200,807,558.79
  5. Step 5: Solve for x
    x = 200,807,558.79/16,106.87
  6. Step 6: Final answer
    x = 12,467.20

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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.