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Finding the Fourth Proportional to 20,198.10, 27,887.07 and 12,647.46

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Solution

The fourth proportional to 20,198.10, 27,887.07 and 12,647.46 is: 17,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.10 : 27,887.07 = 12,647.46 : x
  2. Step 2: Convert to fraction form
    20,198.10/27,887.07 = 12,647.46/x
  3. Step 3: Cross multiply
    20,198.10x = 27,887.07 × 12,647.46
  4. Step 4: Simplify right side
    20,198.10x = 352,700,602.34
  5. Step 5: Solve for x
    x = 352,700,602.34/20,198.10
  6. Step 6: Final answer
    x = 17,462.07

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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.