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Finding the Fourth Proportional to 25,363.76, 38,050.42 and 7,829.49

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Solution

The fourth proportional to 25,363.76, 38,050.42 and 7,829.49 is: 11,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,363.76 : 38,050.42 = 7,829.49 : x
  2. Step 2: Convert to fraction form
    25,363.76/38,050.42 = 7,829.49/x
  3. Step 3: Cross multiply
    25,363.76x = 38,050.42 × 7,829.49
  4. Step 4: Simplify right side
    25,363.76x = 297,915,249.98
  5. Step 5: Solve for x
    x = 297,915,249.98/25,363.76
  6. Step 6: Final answer
    x = 11,745.71

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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.