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Finding the Fourth Proportional to 13,980.78, 19,297.26 and 8,243.24

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Solution

The fourth proportional to 13,980.78, 19,297.26 and 8,243.24 is: 11,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.78 : 19,297.26 = 8,243.24 : x
  2. Step 2: Convert to fraction form
    13,980.78/19,297.26 = 8,243.24/x
  3. Step 3: Cross multiply
    13,980.78x = 19,297.26 × 8,243.24
  4. Step 4: Simplify right side
    13,980.78x = 159,071,945.52
  5. Step 5: Solve for x
    x = 159,071,945.52/13,980.78
  6. Step 6: Final answer
    x = 11,377.90

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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.