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Finding the Fourth Proportional to 15,414.53, 23,107.88 and 5,546.84

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Solution

The fourth proportional to 15,414.53, 23,107.88 and 5,546.84 is: 8,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,414.53 : 23,107.88 = 5,546.84 : x
  2. Step 2: Convert to fraction form
    15,414.53/23,107.88 = 5,546.84/x
  3. Step 3: Cross multiply
    15,414.53x = 23,107.88 × 5,546.84
  4. Step 4: Simplify right side
    15,414.53x = 128,175,611.43
  5. Step 5: Solve for x
    x = 128,175,611.43/15,414.53
  6. Step 6: Final answer
    x = 8,315.25

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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.