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Finding the Fourth Proportional to 12,443.18, 18,667.94 and 3,678.10

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Solution

The fourth proportional to 12,443.18, 18,667.94 and 3,678.10 is: 5,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.18 : 18,667.94 = 3,678.10 : x
  2. Step 2: Convert to fraction form
    12,443.18/18,667.94 = 3,678.10/x
  3. Step 3: Cross multiply
    12,443.18x = 18,667.94 × 3,678.10
  4. Step 4: Simplify right side
    12,443.18x = 68,662,485.05
  5. Step 5: Solve for x
    x = 68,662,485.05/12,443.18
  6. Step 6: Final answer
    x = 5,518.08

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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.