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Finding the Fourth Proportional to 12,361.12, 18,539.24 and 5,785.54

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Solution

The fourth proportional to 12,361.12, 18,539.24 and 5,785.54 is: 8,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361.12 : 18,539.24 = 5,785.54 : x
  2. Step 2: Convert to fraction form
    12,361.12/18,539.24 = 5,785.54/x
  3. Step 3: Cross multiply
    12,361.12x = 18,539.24 × 5,785.54
  4. Step 4: Simplify right side
    12,361.12x = 107,259,514.59
  5. Step 5: Solve for x
    x = 107,259,514.59/12,361.12
  6. Step 6: Final answer
    x = 8,677.17

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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.