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Finding the Fourth Proportional to 12,203.94, 18,302.32 and 5,183.90

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Solution

The fourth proportional to 12,203.94, 18,302.32 and 5,183.90 is: 7,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.94 : 18,302.32 = 5,183.90 : x
  2. Step 2: Convert to fraction form
    12,203.94/18,302.32 = 5,183.90/x
  3. Step 3: Cross multiply
    12,203.94x = 18,302.32 × 5,183.90
  4. Step 4: Simplify right side
    12,203.94x = 94,877,310.10
  5. Step 5: Solve for x
    x = 94,877,310.10/12,203.94
  6. Step 6: Final answer
    x = 7,774.32

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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.