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Finding the Fourth Proportional to 13,067.91, 19,604.70 and 4,303.71

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Solution

The fourth proportional to 13,067.91, 19,604.70 and 4,303.71 is: 6,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,067.91 : 19,604.70 = 4,303.71 : x
  2. Step 2: Convert to fraction form
    13,067.91/19,604.70 = 4,303.71/x
  3. Step 3: Cross multiply
    13,067.91x = 19,604.70 × 4,303.71
  4. Step 4: Simplify right side
    13,067.91x = 84,372,943.44
  5. Step 5: Solve for x
    x = 84,372,943.44/13,067.91
  6. Step 6: Final answer
    x = 6,456.50

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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.