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Finding the Fourth Proportional to 13,647.87, 20,478.29 and 6,720.75

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Solution

The fourth proportional to 13,647.87, 20,478.29 and 6,720.75 is: 10,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.87 : 20,478.29 = 6,720.75 : x
  2. Step 2: Convert to fraction form
    13,647.87/20,478.29 = 6,720.75/x
  3. Step 3: Cross multiply
    13,647.87x = 20,478.29 × 6,720.75
  4. Step 4: Simplify right side
    13,647.87x = 137,629,433.91
  5. Step 5: Solve for x
    x = 137,629,433.91/13,647.87
  6. Step 6: Final answer
    x = 10,084.32

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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.