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Finding the Fourth Proportional to 12,083.94, 18,123.78 and 3,199.35

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Solution

The fourth proportional to 12,083.94, 18,123.78 and 3,199.35 is: 4,798.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.94 : 18,123.78 = 3,199.35 : x
  2. Step 2: Convert to fraction form
    12,083.94/18,123.78 = 3,199.35/x
  3. Step 3: Cross multiply
    12,083.94x = 18,123.78 × 3,199.35
  4. Step 4: Simplify right side
    12,083.94x = 57,984,315.54
  5. Step 5: Solve for x
    x = 57,984,315.54/12,083.94
  6. Step 6: Final answer
    x = 4,798.46

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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.