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Finding the Fourth Proportional to 27,478.98, 41,189.70 and 12,697.60

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Solution

The fourth proportional to 27,478.98, 41,189.70 and 12,697.60 is: 19,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478.98 : 41,189.70 = 12,697.60 : x
  2. Step 2: Convert to fraction form
    27,478.98/41,189.70 = 12,697.60/x
  3. Step 3: Cross multiply
    27,478.98x = 41,189.70 × 12,697.60
  4. Step 4: Simplify right side
    27,478.98x = 523,010,334.72
  5. Step 5: Solve for x
    x = 523,010,334.72/27,478.98
  6. Step 6: Final answer
    x = 19,033.11

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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.