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Finding the Fourth Proportional to 13,012.17, 17,950.16 and 7,906.31

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Solution

The fourth proportional to 13,012.17, 17,950.16 and 7,906.31 is: 10,906.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.17 : 17,950.16 = 7,906.31 : x
  2. Step 2: Convert to fraction form
    13,012.17/17,950.16 = 7,906.31/x
  3. Step 3: Cross multiply
    13,012.17x = 17,950.16 × 7,906.31
  4. Step 4: Simplify right side
    13,012.17x = 141,919,439.76
  5. Step 5: Solve for x
    x = 141,919,439.76/13,012.17
  6. Step 6: Final answer
    x = 10,906.67

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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.