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Finding the Fourth Proportional to 12,939, 19,408.50 and 3,705.72

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Solution

The fourth proportional to 12,939, 19,408.50 and 3,705.72 is: 5,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939 : 19,408.50 = 3,705.72 : x
  2. Step 2: Convert to fraction form
    12,939/19,408.50 = 3,705.72/x
  3. Step 3: Cross multiply
    12,939x = 19,408.50 × 3,705.72
  4. Step 4: Simplify right side
    12,939x = 71,922,466.62
  5. Step 5: Solve for x
    x = 71,922,466.62/12,939
  6. Step 6: Final answer
    x = 5,558.58

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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.