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Finding the Fourth Proportional to 13,866.85, 20,811.21 and 6,467.50

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Solution

The fourth proportional to 13,866.85, 20,811.21 and 6,467.50 is: 9,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.85 : 20,811.21 = 6,467.50 : x
  2. Step 2: Convert to fraction form
    13,866.85/20,811.21 = 6,467.50/x
  3. Step 3: Cross multiply
    13,866.85x = 20,811.21 × 6,467.50
  4. Step 4: Simplify right side
    13,866.85x = 134,596,500.68
  5. Step 5: Solve for x
    x = 134,596,500.68/13,866.85
  6. Step 6: Final answer
    x = 9,706.35

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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.