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Finding the Fourth Proportional to 13,768.72, 20,653.04 and 5,003.60

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Solution

The fourth proportional to 13,768.72, 20,653.04 and 5,003.60 is: 7,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.72 : 20,653.04 = 5,003.60 : x
  2. Step 2: Convert to fraction form
    13,768.72/20,653.04 = 5,003.60/x
  3. Step 3: Cross multiply
    13,768.72x = 20,653.04 × 5,003.60
  4. Step 4: Simplify right side
    13,768.72x = 103,339,550.94
  5. Step 5: Solve for x
    x = 103,339,550.94/13,768.72
  6. Step 6: Final answer
    x = 7,505.39

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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.