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Finding the Fourth Proportional to 27,198.54, 40,813.68 and 11,402.22

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Solution

The fourth proportional to 27,198.54, 40,813.68 and 11,402.22 is: 17,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,198.54 : 40,813.68 = 11,402.22 : x
  2. Step 2: Convert to fraction form
    27,198.54/40,813.68 = 11,402.22/x
  3. Step 3: Cross multiply
    27,198.54x = 40,813.68 × 11,402.22
  4. Step 4: Simplify right side
    27,198.54x = 465,366,558.37
  5. Step 5: Solve for x
    x = 465,366,558.37/27,198.54
  6. Step 6: Final answer
    x = 17,109.98

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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.