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Finding the Fourth Proportional to 13,647.88, 20,466.42 and 5,213.08

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Solution

The fourth proportional to 13,647.88, 20,466.42 and 5,213.08 is: 7,817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.88 : 20,466.42 = 5,213.08 : x
  2. Step 2: Convert to fraction form
    13,647.88/20,466.42 = 5,213.08/x
  3. Step 3: Cross multiply
    13,647.88x = 20,466.42 × 5,213.08
  4. Step 4: Simplify right side
    13,647.88x = 106,693,084.77
  5. Step 5: Solve for x
    x = 106,693,084.77/13,647.88
  6. Step 6: Final answer
    x = 7,817.56

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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.