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Finding the Fourth Proportional to 13,894.70, 19,173.46 and 7,844.60

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Solution

The fourth proportional to 13,894.70, 19,173.46 and 7,844.60 is: 10,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.70 : 19,173.46 = 7,844.60 : x
  2. Step 2: Convert to fraction form
    13,894.70/19,173.46 = 7,844.60/x
  3. Step 3: Cross multiply
    13,894.70x = 19,173.46 × 7,844.60
  4. Step 4: Simplify right side
    13,894.70x = 150,408,124.32
  5. Step 5: Solve for x
    x = 150,408,124.32/13,894.70
  6. Step 6: Final answer
    x = 10,824.86

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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.