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Finding the Fourth Proportional to 12,305.14, 18,435.42 and 5,647.19

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Solution

The fourth proportional to 12,305.14, 18,435.42 and 5,647.19 is: 8,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.14 : 18,435.42 = 5,647.19 : x
  2. Step 2: Convert to fraction form
    12,305.14/18,435.42 = 5,647.19/x
  3. Step 3: Cross multiply
    12,305.14x = 18,435.42 × 5,647.19
  4. Step 4: Simplify right side
    12,305.14x = 104,108,398.72
  5. Step 5: Solve for x
    x = 104,108,398.72/12,305.14
  6. Step 6: Final answer
    x = 8,460.56

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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.