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Finding the Fourth Proportional to 20,873.94, 31,321.02 and 9,185.64

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Solution

The fourth proportional to 20,873.94, 31,321.02 and 9,185.64 is: 13,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.94 : 31,321.02 = 9,185.64 : x
  2. Step 2: Convert to fraction form
    20,873.94/31,321.02 = 9,185.64/x
  3. Step 3: Cross multiply
    20,873.94x = 31,321.02 × 9,185.64
  4. Step 4: Simplify right side
    20,873.94x = 287,703,614.15
  5. Step 5: Solve for x
    x = 287,703,614.15/20,873.94
  6. Step 6: Final answer
    x = 13,782.91

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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.