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Finding the Fourth Proportional to 13,509.72, 20,269.26 and 4,745.88

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Solution

The fourth proportional to 13,509.72, 20,269.26 and 4,745.88 is: 7,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.72 : 20,269.26 = 4,745.88 : x
  2. Step 2: Convert to fraction form
    13,509.72/20,269.26 = 4,745.88/x
  3. Step 3: Cross multiply
    13,509.72x = 20,269.26 × 4,745.88
  4. Step 4: Simplify right side
    13,509.72x = 96,195,475.65
  5. Step 5: Solve for x
    x = 96,195,475.65/13,509.72
  6. Step 6: Final answer
    x = 7,120.46

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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.