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Finding the Fourth Proportional to 22,803.26, 31,464.65 and 12,731.31

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Solution

The fourth proportional to 22,803.26, 31,464.65 and 12,731.31 is: 17,567.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,803.26 : 31,464.65 = 12,731.31 : x
  2. Step 2: Convert to fraction form
    22,803.26/31,464.65 = 12,731.31/x
  3. Step 3: Cross multiply
    22,803.26x = 31,464.65 × 12,731.31
  4. Step 4: Simplify right side
    22,803.26x = 400,586,245.02
  5. Step 5: Solve for x
    x = 400,586,245.02/22,803.26
  6. Step 6: Final answer
    x = 17,567.06

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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.