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Finding the Fourth Proportional to 13,644.27, 20,466.75 and 3,783.53

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Solution

The fourth proportional to 13,644.27, 20,466.75 and 3,783.53 is: 5,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.27 : 20,466.75 = 3,783.53 : x
  2. Step 2: Convert to fraction form
    13,644.27/20,466.75 = 3,783.53/x
  3. Step 3: Cross multiply
    13,644.27x = 20,466.75 × 3,783.53
  4. Step 4: Simplify right side
    13,644.27x = 77,436,460.29
  5. Step 5: Solve for x
    x = 77,436,460.29/13,644.27
  6. Step 6: Final answer
    x = 5,675.38

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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.