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Finding the Fourth Proportional to 12,361.86, 18,538.29 and 3,594.42

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Solution

The fourth proportional to 12,361.86, 18,538.29 and 3,594.42 is: 5,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361.86 : 18,538.29 = 3,594.42 : x
  2. Step 2: Convert to fraction form
    12,361.86/18,538.29 = 3,594.42/x
  3. Step 3: Cross multiply
    12,361.86x = 18,538.29 × 3,594.42
  4. Step 4: Simplify right side
    12,361.86x = 66,634,400.34
  5. Step 5: Solve for x
    x = 66,634,400.34/12,361.86
  6. Step 6: Final answer
    x = 5,390.32

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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.