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Finding the Fourth Proportional to 27,690.98, 41,537.06 and 9,922.80

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Solution

The fourth proportional to 27,690.98, 41,537.06 and 9,922.80 is: 14,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,690.98 : 41,537.06 = 9,922.80 : x
  2. Step 2: Convert to fraction form
    27,690.98/41,537.06 = 9,922.80/x
  3. Step 3: Cross multiply
    27,690.98x = 41,537.06 × 9,922.80
  4. Step 4: Simplify right side
    27,690.98x = 412,163,938.97
  5. Step 5: Solve for x
    x = 412,163,938.97/27,690.98
  6. Step 6: Final answer
    x = 14,884.41

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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.