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Finding the Fourth Proportional to 12,096.33, 18,139.83 and 4,699.82

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Solution

The fourth proportional to 12,096.33, 18,139.83 and 4,699.82 is: 7,047.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.33 : 18,139.83 = 4,699.82 : x
  2. Step 2: Convert to fraction form
    12,096.33/18,139.83 = 4,699.82/x
  3. Step 3: Cross multiply
    12,096.33x = 18,139.83 × 4,699.82
  4. Step 4: Simplify right side
    12,096.33x = 85,253,845.13
  5. Step 5: Solve for x
    x = 85,253,845.13/12,096.33
  6. Step 6: Final answer
    x = 7,047.91

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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.