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Finding the Fourth Proportional to 15,149.57, 20,907.41 and 9,181.80

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Solution

The fourth proportional to 15,149.57, 20,907.41 and 9,181.80 is: 12,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,149.57 : 20,907.41 = 9,181.80 : x
  2. Step 2: Convert to fraction form
    15,149.57/20,907.41 = 9,181.80/x
  3. Step 3: Cross multiply
    15,149.57x = 20,907.41 × 9,181.80
  4. Step 4: Simplify right side
    15,149.57x = 191,967,611.23
  5. Step 5: Solve for x
    x = 191,967,611.23/15,149.57
  6. Step 6: Final answer
    x = 12,671.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.