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Finding the Fourth Proportional to 13,751.57, 20,635.36 and 5,853.67

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Solution

The fourth proportional to 13,751.57, 20,635.36 and 5,853.67 is: 8,783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.57 : 20,635.36 = 5,853.67 : x
  2. Step 2: Convert to fraction form
    13,751.57/20,635.36 = 5,853.67/x
  3. Step 3: Cross multiply
    13,751.57x = 20,635.36 × 5,853.67
  4. Step 4: Simplify right side
    13,751.57x = 120,792,521.55
  5. Step 5: Solve for x
    x = 120,792,521.55/13,751.57
  6. Step 6: Final answer
    x = 8,783.91

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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.