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Finding the Fourth Proportional to 25,692.51, 38,540.52 and 8,162.22

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Solution

The fourth proportional to 25,692.51, 38,540.52 and 8,162.22 is: 12,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,692.51 : 38,540.52 = 8,162.22 : x
  2. Step 2: Convert to fraction form
    25,692.51/38,540.52 = 8,162.22/x
  3. Step 3: Cross multiply
    25,692.51x = 38,540.52 × 8,162.22
  4. Step 4: Simplify right side
    25,692.51x = 314,576,203.15
  5. Step 5: Solve for x
    x = 314,576,203.15/25,692.51
  6. Step 6: Final answer
    x = 12,243.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.