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Finding the Fourth Proportional to 12,033.57, 16,606.97 and 7,255.04

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Solution

The fourth proportional to 12,033.57, 16,606.97 and 7,255.04 is: 10,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.57 : 16,606.97 = 7,255.04 : x
  2. Step 2: Convert to fraction form
    12,033.57/16,606.97 = 7,255.04/x
  3. Step 3: Cross multiply
    12,033.57x = 16,606.97 × 7,255.04
  4. Step 4: Simplify right side
    12,033.57x = 120,484,195.35
  5. Step 5: Solve for x
    x = 120,484,195.35/12,033.57
  6. Step 6: Final answer
    x = 10,012.34

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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.