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Finding the Fourth Proportional to 21,007.94, 31,516.60 and 9,163.64

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Solution

The fourth proportional to 21,007.94, 31,516.60 and 9,163.64 is: 13,747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.94 : 31,516.60 = 9,163.64 : x
  2. Step 2: Convert to fraction form
    21,007.94/31,516.60 = 9,163.64/x
  3. Step 3: Cross multiply
    21,007.94x = 31,516.60 × 9,163.64
  4. Step 4: Simplify right side
    21,007.94x = 288,806,832.31
  5. Step 5: Solve for x
    x = 288,806,832.31/21,007.94
  6. Step 6: Final answer
    x = 13,747.51

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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.