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Finding the Fourth Proportional to 25,049.25, 34,567.97 and 13,871.25

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Solution

The fourth proportional to 25,049.25, 34,567.97 and 13,871.25 is: 19,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,049.25 : 34,567.97 = 13,871.25 : x
  2. Step 2: Convert to fraction form
    25,049.25/34,567.97 = 13,871.25/x
  3. Step 3: Cross multiply
    25,049.25x = 34,567.97 × 13,871.25
  4. Step 4: Simplify right side
    25,049.25x = 479,500,884.51
  5. Step 5: Solve for x
    x = 479,500,884.51/25,049.25
  6. Step 6: Final answer
    x = 19,142.33

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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.