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Finding the Fourth Proportional to 13,206.54, 19,782.27 and 7,924.80

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Solution

The fourth proportional to 13,206.54, 19,782.27 and 7,924.80 is: 11,870.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.54 : 19,782.27 = 7,924.80 : x
  2. Step 2: Convert to fraction form
    13,206.54/19,782.27 = 7,924.80/x
  3. Step 3: Cross multiply
    13,206.54x = 19,782.27 × 7,924.80
  4. Step 4: Simplify right side
    13,206.54x = 156,770,533.30
  5. Step 5: Solve for x
    x = 156,770,533.30/13,206.54
  6. Step 6: Final answer
    x = 11,870.67

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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.