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Finding the Fourth Proportional to 12,093.98, 18,144.02 and 4,696.46

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Solution

The fourth proportional to 12,093.98, 18,144.02 and 4,696.46 is: 7,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.98 : 18,144.02 = 4,696.46 : x
  2. Step 2: Convert to fraction form
    12,093.98/18,144.02 = 4,696.46/x
  3. Step 3: Cross multiply
    12,093.98x = 18,144.02 × 4,696.46
  4. Step 4: Simplify right side
    12,093.98x = 85,212,664.17
  5. Step 5: Solve for x
    x = 85,212,664.17/12,093.98
  6. Step 6: Final answer
    x = 7,045.87

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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.