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Finding the Fourth Proportional to 13,480.30, 20,216.85 and 4,120.30

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Solution

The fourth proportional to 13,480.30, 20,216.85 and 4,120.30 is: 6,179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,480.30 : 20,216.85 = 4,120.30 : x
  2. Step 2: Convert to fraction form
    13,480.30/20,216.85 = 4,120.30/x
  3. Step 3: Cross multiply
    13,480.30x = 20,216.85 × 4,120.30
  4. Step 4: Simplify right side
    13,480.30x = 83,299,487.06
  5. Step 5: Solve for x
    x = 83,299,487.06/13,480.30
  6. Step 6: Final answer
    x = 6,179.35

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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.