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Finding the Fourth Proportional to 12,093.82, 18,137.30 and 4,696.70

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Solution

The fourth proportional to 12,093.82, 18,137.30 and 4,696.70 is: 7,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.82 : 18,137.30 = 4,696.70 : x
  2. Step 2: Convert to fraction form
    12,093.82/18,137.30 = 4,696.70/x
  3. Step 3: Cross multiply
    12,093.82x = 18,137.30 × 4,696.70
  4. Step 4: Simplify right side
    12,093.82x = 85,185,433.43
  5. Step 5: Solve for x
    x = 85,185,433.43/12,093.82
  6. Step 6: Final answer
    x = 7,043.72

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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.