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Finding the Fourth Proportional to 17,683.14, 24,377.05 and 12,361.46

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Solution

The fourth proportional to 17,683.14, 24,377.05 and 12,361.46 is: 17,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.14 : 24,377.05 = 12,361.46 : x
  2. Step 2: Convert to fraction form
    17,683.14/24,377.05 = 12,361.46/x
  3. Step 3: Cross multiply
    17,683.14x = 24,377.05 × 12,361.46
  4. Step 4: Simplify right side
    17,683.14x = 301,335,928.49
  5. Step 5: Solve for x
    x = 301,335,928.49/17,683.14
  6. Step 6: Final answer
    x = 17,040.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.