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Finding the Fourth Proportional to 24,604.75, 36,907.13 and 6,136.75

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Solution

The fourth proportional to 24,604.75, 36,907.13 and 6,136.75 is: 9,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,604.75 : 36,907.13 = 6,136.75 : x
  2. Step 2: Convert to fraction form
    24,604.75/36,907.13 = 6,136.75/x
  3. Step 3: Cross multiply
    24,604.75x = 36,907.13 × 6,136.75
  4. Step 4: Simplify right side
    24,604.75x = 226,489,830.03
  5. Step 5: Solve for x
    x = 226,489,830.03/24,604.75
  6. Step 6: Final answer
    x = 9,205.13

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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.