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Finding the Fourth Proportional to 12,028.72, 18,043.82 and 4,633.20

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Solution

The fourth proportional to 12,028.72, 18,043.82 and 4,633.20 is: 6,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,028.72 : 18,043.82 = 4,633.20 : x
  2. Step 2: Convert to fraction form
    12,028.72/18,043.82 = 4,633.20/x
  3. Step 3: Cross multiply
    12,028.72x = 18,043.82 × 4,633.20
  4. Step 4: Simplify right side
    12,028.72x = 83,600,626.82
  5. Step 5: Solve for x
    x = 83,600,626.82/12,028.72
  6. Step 6: Final answer
    x = 6,950.09

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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.