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Finding the Fourth Proportional to 25,850.44, 38,721.17 and 11,822.28

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Solution

The fourth proportional to 25,850.44, 38,721.17 and 11,822.28 is: 17,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,850.44 : 38,721.17 = 11,822.28 : x
  2. Step 2: Convert to fraction form
    25,850.44/38,721.17 = 11,822.28/x
  3. Step 3: Cross multiply
    25,850.44x = 38,721.17 × 11,822.28
  4. Step 4: Simplify right side
    25,850.44x = 457,772,513.67
  5. Step 5: Solve for x
    x = 457,772,513.67/25,850.44
  6. Step 6: Final answer
    x = 17,708.50

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Why These Related Problems?

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