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Finding the Fourth Proportional to 13,146.94, 18,142.07 and 7,697.67

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Solution

The fourth proportional to 13,146.94, 18,142.07 and 7,697.67 is: 10,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.94 : 18,142.07 = 7,697.67 : x
  2. Step 2: Convert to fraction form
    13,146.94/18,142.07 = 7,697.67/x
  3. Step 3: Cross multiply
    13,146.94x = 18,142.07 × 7,697.67
  4. Step 4: Simplify right side
    13,146.94x = 139,651,667.98
  5. Step 5: Solve for x
    x = 139,651,667.98/13,146.94
  6. Step 6: Final answer
    x = 10,622.37

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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.