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Finding the Fourth Proportional to 12,033.66, 18,044.04 and 6,698.52

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Solution

The fourth proportional to 12,033.66, 18,044.04 and 6,698.52 is: 10,044.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.66 : 18,044.04 = 6,698.52 : x
  2. Step 2: Convert to fraction form
    12,033.66/18,044.04 = 6,698.52/x
  3. Step 3: Cross multiply
    12,033.66x = 18,044.04 × 6,698.52
  4. Step 4: Simplify right side
    12,033.66x = 120,868,419.85
  5. Step 5: Solve for x
    x = 120,868,419.85/12,033.66
  6. Step 6: Final answer
    x = 10,044.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.