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Finding the Fourth Proportional to 25,027, 34,538.34 and 13,849

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Solution

The fourth proportional to 25,027, 34,538.34 and 13,849 is: 19,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,027 : 34,538.34 = 13,849 : x
  2. Step 2: Convert to fraction form
    25,027/34,538.34 = 13,849/x
  3. Step 3: Cross multiply
    25,027x = 34,538.34 × 13,849
  4. Step 4: Simplify right side
    25,027x = 478,321,470.66
  5. Step 5: Solve for x
    x = 478,321,470.66/25,027
  6. Step 6: Final answer
    x = 19,112.22

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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.