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Finding the Fourth Proportional to 25,178.36, 34,745.44 and 13,847.86

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Solution

The fourth proportional to 25,178.36, 34,745.44 and 13,847.86 is: 19,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,178.36 : 34,745.44 = 13,847.86 : x
  2. Step 2: Convert to fraction form
    25,178.36/34,745.44 = 13,847.86/x
  3. Step 3: Cross multiply
    25,178.36x = 34,745.44 × 13,847.86
  4. Step 4: Simplify right side
    25,178.36x = 481,149,936.51
  5. Step 5: Solve for x
    x = 481,149,936.51/25,178.36
  6. Step 6: Final answer
    x = 19,109.66

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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.