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Finding the Fourth Proportional to 13,983.85, 20,983.11 and 9,052.21

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Solution

The fourth proportional to 13,983.85, 20,983.11 and 9,052.21 is: 13,583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983.85 : 20,983.11 = 9,052.21 : x
  2. Step 2: Convert to fraction form
    13,983.85/20,983.11 = 9,052.21/x
  3. Step 3: Cross multiply
    13,983.85x = 20,983.11 × 9,052.21
  4. Step 4: Simplify right side
    13,983.85x = 189,943,518.17
  5. Step 5: Solve for x
    x = 189,943,518.17/13,983.85
  6. Step 6: Final answer
    x = 13,583.06

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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.