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Finding the Fourth Proportional to 27,996.90, 41,940 and 16,870.74

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Solution

The fourth proportional to 27,996.90, 41,940 and 16,870.74 is: 25,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,996.90 : 41,940 = 16,870.74 : x
  2. Step 2: Convert to fraction form
    27,996.90/41,940 = 16,870.74/x
  3. Step 3: Cross multiply
    27,996.90x = 41,940 × 16,870.74
  4. Step 4: Simplify right side
    27,996.90x = 707,558,835.60
  5. Step 5: Solve for x
    x = 707,558,835.60/27,996.90
  6. Step 6: Final answer
    x = 25,272.76

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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.