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Finding the Fourth Proportional to 12,144.96, 18,205.83 and 4,746.96

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Solution

The fourth proportional to 12,144.96, 18,205.83 and 4,746.96 is: 7,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.96 : 18,205.83 = 4,746.96 : x
  2. Step 2: Convert to fraction form
    12,144.96/18,205.83 = 4,746.96/x
  3. Step 3: Cross multiply
    12,144.96x = 18,205.83 × 4,746.96
  4. Step 4: Simplify right side
    12,144.96x = 86,422,346.78
  5. Step 5: Solve for x
    x = 86,422,346.78/12,144.96
  6. Step 6: Final answer
    x = 7,115.90

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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.