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Finding the Fourth Proportional to 13,983.50, 20,958.15 and 6,578.12

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Solution

The fourth proportional to 13,983.50, 20,958.15 and 6,578.12 is: 9,859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983.50 : 20,958.15 = 6,578.12 : x
  2. Step 2: Convert to fraction form
    13,983.50/20,958.15 = 6,578.12/x
  3. Step 3: Cross multiply
    13,983.50x = 20,958.15 × 6,578.12
  4. Step 4: Simplify right side
    13,983.50x = 137,865,225.68
  5. Step 5: Solve for x
    x = 137,865,225.68/13,983.50
  6. Step 6: Final answer
    x = 9,859.14

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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.