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Finding the Fourth Proportional to 13,678.44, 18,908.12 and 12,201

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Solution

The fourth proportional to 13,678.44, 18,908.12 and 12,201 is: 16,865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.44 : 18,908.12 = 12,201 : x
  2. Step 2: Convert to fraction form
    13,678.44/18,908.12 = 12,201/x
  3. Step 3: Cross multiply
    13,678.44x = 18,908.12 × 12,201
  4. Step 4: Simplify right side
    13,678.44x = 230,697,972.12
  5. Step 5: Solve for x
    x = 230,697,972.12/13,678.44
  6. Step 6: Final answer
    x = 16,865.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.