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Finding the Fourth Proportional to 13,768.38, 20,653.92 and 5,003.91

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Solution

The fourth proportional to 13,768.38, 20,653.92 and 5,003.91 is: 7,506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.38 : 20,653.92 = 5,003.91 : x
  2. Step 2: Convert to fraction form
    13,768.38/20,653.92 = 5,003.91/x
  3. Step 3: Cross multiply
    13,768.38x = 20,653.92 × 5,003.91
  4. Step 4: Simplify right side
    13,768.38x = 103,350,356.83
  5. Step 5: Solve for x
    x = 103,350,356.83/13,768.38
  6. Step 6: Final answer
    x = 7,506.36

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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.