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Finding the Fourth Proportional to 14,606.64, 20,163.87 and 9,571.14

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Solution

The fourth proportional to 14,606.64, 20,163.87 and 9,571.14 is: 13,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.64 : 20,163.87 = 9,571.14 : x
  2. Step 2: Convert to fraction form
    14,606.64/20,163.87 = 9,571.14/x
  3. Step 3: Cross multiply
    14,606.64x = 20,163.87 × 9,571.14
  4. Step 4: Simplify right side
    14,606.64x = 192,991,222.71
  5. Step 5: Solve for x
    x = 192,991,222.71/14,606.64
  6. Step 6: Final answer
    x = 13,212.57

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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.