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Finding the Fourth Proportional to 16,361.68, 24,540.09 and 5,971

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Solution

The fourth proportional to 16,361.68, 24,540.09 and 5,971 is: 8,955.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,361.68 : 24,540.09 = 5,971 : x
  2. Step 2: Convert to fraction form
    16,361.68/24,540.09 = 5,971/x
  3. Step 3: Cross multiply
    16,361.68x = 24,540.09 × 5,971
  4. Step 4: Simplify right side
    16,361.68x = 146,528,877.39
  5. Step 5: Solve for x
    x = 146,528,877.39/16,361.68
  6. Step 6: Final answer
    x = 8,955.61

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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.