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Finding the Fourth Proportional to 24,467.25, 36,702.71 and 6,938.49

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Solution

The fourth proportional to 24,467.25, 36,702.71 and 6,938.49 is: 10,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467.25 : 36,702.71 = 6,938.49 : x
  2. Step 2: Convert to fraction form
    24,467.25/36,702.71 = 6,938.49/x
  3. Step 3: Cross multiply
    24,467.25x = 36,702.71 × 6,938.49
  4. Step 4: Simplify right side
    24,467.25x = 254,661,351.62
  5. Step 5: Solve for x
    x = 254,661,351.62/24,467.25
  6. Step 6: Final answer
    x = 10,408.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.