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Finding the Fourth Proportional to 23,791.36, 32,826 and 14,843.20

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Solution

The fourth proportional to 23,791.36, 32,826 and 14,843.20 is: 20,479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,791.36 : 32,826 = 14,843.20 : x
  2. Step 2: Convert to fraction form
    23,791.36/32,826 = 14,843.20/x
  3. Step 3: Cross multiply
    23,791.36x = 32,826 × 14,843.20
  4. Step 4: Simplify right side
    23,791.36x = 487,242,883.20
  5. Step 5: Solve for x
    x = 487,242,883.20/23,791.36
  6. Step 6: Final answer
    x = 20,479.82

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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.