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Finding the Fourth Proportional to 12,083.84, 18,123.12 and 3,317.84

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Solution

The fourth proportional to 12,083.84, 18,123.12 and 3,317.84 is: 4,976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.84 : 18,123.12 = 3,317.84 : x
  2. Step 2: Convert to fraction form
    12,083.84/18,123.12 = 3,317.84/x
  3. Step 3: Cross multiply
    12,083.84x = 18,123.12 × 3,317.84
  4. Step 4: Simplify right side
    12,083.84x = 60,129,612.46
  5. Step 5: Solve for x
    x = 60,129,612.46/12,083.84
  6. Step 6: Final answer
    x = 4,976.04

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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.