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Finding the Fourth Proportional to 12,361.60, 18,542.49 and 9,893.26

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Solution

The fourth proportional to 12,361.60, 18,542.49 and 9,893.26 is: 14,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361.60 : 18,542.49 = 9,893.26 : x
  2. Step 2: Convert to fraction form
    12,361.60/18,542.49 = 9,893.26/x
  3. Step 3: Cross multiply
    12,361.60x = 18,542.49 × 9,893.26
  4. Step 4: Simplify right side
    12,361.60x = 183,445,674.62
  5. Step 5: Solve for x
    x = 183,445,674.62/12,361.60
  6. Step 6: Final answer
    x = 14,839.96

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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.