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Finding the Fourth Proportional to 19,771.87, 27,287.70 and 12,971.62

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Solution

The fourth proportional to 19,771.87, 27,287.70 and 12,971.62 is: 17,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.87 : 27,287.70 = 12,971.62 : x
  2. Step 2: Convert to fraction form
    19,771.87/27,287.70 = 12,971.62/x
  3. Step 3: Cross multiply
    19,771.87x = 27,287.70 × 12,971.62
  4. Step 4: Simplify right side
    19,771.87x = 353,965,675.07
  5. Step 5: Solve for x
    x = 353,965,675.07/19,771.87
  6. Step 6: Final answer
    x = 17,902.49

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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.