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Finding the Fourth Proportional to 13,450.10, 20,162.73 and 7,214.45

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Solution

The fourth proportional to 13,450.10, 20,162.73 and 7,214.45 is: 10,815.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450.10 : 20,162.73 = 7,214.45 : x
  2. Step 2: Convert to fraction form
    13,450.10/20,162.73 = 7,214.45/x
  3. Step 3: Cross multiply
    13,450.10x = 20,162.73 × 7,214.45
  4. Step 4: Simplify right side
    13,450.10x = 145,463,007.45
  5. Step 5: Solve for x
    x = 145,463,007.45/13,450.10
  6. Step 6: Final answer
    x = 10,815.01

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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.