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Finding the Fourth Proportional to 19,431.50, 29,149.07 and 7,745.63

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Solution

The fourth proportional to 19,431.50, 29,149.07 and 7,745.63 is: 11,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,431.50 : 29,149.07 = 7,745.63 : x
  2. Step 2: Convert to fraction form
    19,431.50/29,149.07 = 7,745.63/x
  3. Step 3: Cross multiply
    19,431.50x = 29,149.07 × 7,745.63
  4. Step 4: Simplify right side
    19,431.50x = 225,777,726.59
  5. Step 5: Solve for x
    x = 225,777,726.59/19,431.50
  6. Step 6: Final answer
    x = 11,619.16

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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.