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Finding the Fourth Proportional to 13,478.11, 20,219.16 and 4,116.90

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Solution

The fourth proportional to 13,478.11, 20,219.16 and 4,116.90 is: 6,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.11 : 20,219.16 = 4,116.90 : x
  2. Step 2: Convert to fraction form
    13,478.11/20,219.16 = 4,116.90/x
  3. Step 3: Cross multiply
    13,478.11x = 20,219.16 × 4,116.90
  4. Step 4: Simplify right side
    13,478.11x = 83,240,233.26
  5. Step 5: Solve for x
    x = 83,240,233.26/13,478.11
  6. Step 6: Final answer
    x = 6,175.96

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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.