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Finding the Fourth Proportional to 12,199.60, 18,293.96 and 3,878.08

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Solution

The fourth proportional to 12,199.60, 18,293.96 and 3,878.08 is: 5,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.60 : 18,293.96 = 3,878.08 : x
  2. Step 2: Convert to fraction form
    12,199.60/18,293.96 = 3,878.08/x
  3. Step 3: Cross multiply
    12,199.60x = 18,293.96 × 3,878.08
  4. Step 4: Simplify right side
    12,199.60x = 70,945,440.40
  5. Step 5: Solve for x
    x = 70,945,440.40/12,199.60
  6. Step 6: Final answer
    x = 5,815.39

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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.