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Finding the Fourth Proportional to 25,846.40, 38,846.40 and 22,467.20

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Solution

The fourth proportional to 25,846.40, 38,846.40 and 22,467.20 is: 33,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,846.40 : 38,846.40 = 22,467.20 : x
  2. Step 2: Convert to fraction form
    25,846.40/38,846.40 = 22,467.20/x
  3. Step 3: Cross multiply
    25,846.40x = 38,846.40 × 22,467.20
  4. Step 4: Simplify right side
    25,846.40x = 872,769,838.08
  5. Step 5: Solve for x
    x = 872,769,838.08/25,846.40
  6. Step 6: Final answer
    x = 33,767.56

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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.