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Finding the Fourth Proportional to 12,907, 19,369.06 and 7,067.72

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Solution

The fourth proportional to 12,907, 19,369.06 and 7,067.72 is: 10,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907 : 19,369.06 = 7,067.72 : x
  2. Step 2: Convert to fraction form
    12,907/19,369.06 = 7,067.72/x
  3. Step 3: Cross multiply
    12,907x = 19,369.06 × 7,067.72
  4. Step 4: Simplify right side
    12,907x = 136,895,092.74
  5. Step 5: Solve for x
    x = 136,895,092.74/12,907
  6. Step 6: Final answer
    x = 10,606.27

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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.