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Finding the Fourth Proportional to 14,067, 21,102.54 and 4,704.23

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Solution

The fourth proportional to 14,067, 21,102.54 and 4,704.23 is: 7,057.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067 : 21,102.54 = 4,704.23 : x
  2. Step 2: Convert to fraction form
    14,067/21,102.54 = 4,704.23/x
  3. Step 3: Cross multiply
    14,067x = 21,102.54 × 4,704.23
  4. Step 4: Simplify right side
    14,067x = 99,271,201.74
  5. Step 5: Solve for x
    x = 99,271,201.74/14,067
  6. Step 6: Final answer
    x = 7,057.03

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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.