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Finding the Fourth Proportional to 13,940.60, 19,234.28 and 7,971.04

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Solution

The fourth proportional to 13,940.60, 19,234.28 and 7,971.04 is: 10,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.60 : 19,234.28 = 7,971.04 : x
  2. Step 2: Convert to fraction form
    13,940.60/19,234.28 = 7,971.04/x
  3. Step 3: Cross multiply
    13,940.60x = 19,234.28 × 7,971.04
  4. Step 4: Simplify right side
    13,940.60x = 153,317,079.22
  5. Step 5: Solve for x
    x = 153,317,079.22/13,940.60
  6. Step 6: Final answer
    x = 10,997.88

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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.