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Finding the Fourth Proportional to 16,043.04, 24,064.56 and 7,828

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Solution

The fourth proportional to 16,043.04, 24,064.56 and 7,828 is: 11,742

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043.04 : 24,064.56 = 7,828 : x
  2. Step 2: Convert to fraction form
    16,043.04/24,064.56 = 7,828/x
  3. Step 3: Cross multiply
    16,043.04x = 24,064.56 × 7,828
  4. Step 4: Simplify right side
    16,043.04x = 188,377,375.68
  5. Step 5: Solve for x
    x = 188,377,375.68/16,043.04
  6. Step 6: Final answer
    x = 11,742

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