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Finding the Fourth Proportional to 13,939.68, 19,228 and 8,270.41

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Solution

The fourth proportional to 13,939.68, 19,228 and 8,270.41 is: 11,407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,939.68 : 19,228 = 8,270.41 : x
  2. Step 2: Convert to fraction form
    13,939.68/19,228 = 8,270.41/x
  3. Step 3: Cross multiply
    13,939.68x = 19,228 × 8,270.41
  4. Step 4: Simplify right side
    13,939.68x = 159,023,443.48
  5. Step 5: Solve for x
    x = 159,023,443.48/13,939.68
  6. Step 6: Final answer
    x = 11,407.97

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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.