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Finding the Fourth Proportional to 12,981.14, 17,914.32 and 7,945.26

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Solution

The fourth proportional to 12,981.14, 17,914.32 and 7,945.26 is: 10,964.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,981.14 : 17,914.32 = 7,945.26 : x
  2. Step 2: Convert to fraction form
    12,981.14/17,914.32 = 7,945.26/x
  3. Step 3: Cross multiply
    12,981.14x = 17,914.32 × 7,945.26
  4. Step 4: Simplify right side
    12,981.14x = 142,333,930.12
  5. Step 5: Solve for x
    x = 142,333,930.12/12,981.14
  6. Step 6: Final answer
    x = 10,964.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.