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Finding the Fourth Proportional to 19,378.41, 29,067.74 and 7,691.63

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Solution

The fourth proportional to 19,378.41, 29,067.74 and 7,691.63 is: 11,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,378.41 : 29,067.74 = 7,691.63 : x
  2. Step 2: Convert to fraction form
    19,378.41/29,067.74 = 7,691.63/x
  3. Step 3: Cross multiply
    19,378.41x = 29,067.74 × 7,691.63
  4. Step 4: Simplify right side
    19,378.41x = 223,578,369.69
  5. Step 5: Solve for x
    x = 223,578,369.69/19,378.41
  6. Step 6: Final answer
    x = 11,537.50

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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.