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Finding the Fourth Proportional to 25,846.71, 38,745.43 and 8,304.22

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Solution

The fourth proportional to 25,846.71, 38,745.43 and 8,304.22 is: 12,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,846.71 : 38,745.43 = 8,304.22 : x
  2. Step 2: Convert to fraction form
    25,846.71/38,745.43 = 8,304.22/x
  3. Step 3: Cross multiply
    25,846.71x = 38,745.43 × 8,304.22
  4. Step 4: Simplify right side
    25,846.71x = 321,750,574.71
  5. Step 5: Solve for x
    x = 321,750,574.71/25,846.71
  6. Step 6: Final answer
    x = 12,448.42

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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.