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Finding the Fourth Proportional to 14,129.31, 19,496.25 and 8,078.49

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Solution

The fourth proportional to 14,129.31, 19,496.25 and 8,078.49 is: 11,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.31 : 19,496.25 = 8,078.49 : x
  2. Step 2: Convert to fraction form
    14,129.31/19,496.25 = 8,078.49/x
  3. Step 3: Cross multiply
    14,129.31x = 19,496.25 × 8,078.49
  4. Step 4: Simplify right side
    14,129.31x = 157,500,260.66
  5. Step 5: Solve for x
    x = 157,500,260.66/14,129.31
  6. Step 6: Final answer
    x = 11,147.06

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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.