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Finding the Fourth Proportional to 20,197.46, 27,871.07 and 12,643.44

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Solution

The fourth proportional to 20,197.46, 27,871.07 and 12,643.44 is: 17,447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.46 : 27,871.07 = 12,643.44 : x
  2. Step 2: Convert to fraction form
    20,197.46/27,871.07 = 12,643.44/x
  3. Step 3: Cross multiply
    20,197.46x = 27,871.07 × 12,643.44
  4. Step 4: Simplify right side
    20,197.46x = 352,386,138.06
  5. Step 5: Solve for x
    x = 352,386,138.06/20,197.46
  6. Step 6: Final answer
    x = 17,447.06

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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.