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Finding the Fourth Proportional to 13,731.69, 20,583.69 and 5,408.49

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Solution

The fourth proportional to 13,731.69, 20,583.69 and 5,408.49 is: 8,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.69 : 20,583.69 = 5,408.49 : x
  2. Step 2: Convert to fraction form
    13,731.69/20,583.69 = 5,408.49/x
  3. Step 3: Cross multiply
    13,731.69x = 20,583.69 × 5,408.49
  4. Step 4: Simplify right side
    13,731.69x = 111,326,681.53
  5. Step 5: Solve for x
    x = 111,326,681.53/13,731.69
  6. Step 6: Final answer
    x = 8,107.28

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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.