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Finding the Fourth Proportional to 13,283.37, 19,915.81 and 5,883.82

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Solution

The fourth proportional to 13,283.37, 19,915.81 and 5,883.82 is: 8,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.37 : 19,915.81 = 5,883.82 : x
  2. Step 2: Convert to fraction form
    13,283.37/19,915.81 = 5,883.82/x
  3. Step 3: Cross multiply
    13,283.37x = 19,915.81 × 5,883.82
  4. Step 4: Simplify right side
    13,283.37x = 117,180,912.20
  5. Step 5: Solve for x
    x = 117,180,912.20/13,283.37
  6. Step 6: Final answer
    x = 8,821.63

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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.