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Finding the Fourth Proportional to 19,067, 28,594.73 and 5,736.47

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Solution

The fourth proportional to 19,067, 28,594.73 and 5,736.47 is: 8,602.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,067 : 28,594.73 = 5,736.47 : x
  2. Step 2: Convert to fraction form
    19,067/28,594.73 = 5,736.47/x
  3. Step 3: Cross multiply
    19,067x = 28,594.73 × 5,736.47
  4. Step 4: Simplify right side
    19,067x = 164,032,639.15
  5. Step 5: Solve for x
    x = 164,032,639.15/19,067
  6. Step 6: Final answer
    x = 8,602.96

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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.