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Finding the Fourth Proportional to 24,939, 37,408.50 and 12,627

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Solution

The fourth proportional to 24,939, 37,408.50 and 12,627 is: 18,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,939 : 37,408.50 = 12,627 : x
  2. Step 2: Convert to fraction form
    24,939/37,408.50 = 12,627/x
  3. Step 3: Cross multiply
    24,939x = 37,408.50 × 12,627
  4. Step 4: Simplify right side
    24,939x = 472,357,129.50
  5. Step 5: Solve for x
    x = 472,357,129.50/24,939
  6. Step 6: Final answer
    x = 18,940.50

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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.