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Finding the Fourth Proportional to 25,662.80, 35,422.44 and 16,234.40

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Solution

The fourth proportional to 25,662.80, 35,422.44 and 16,234.40 is: 22,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,662.80 : 35,422.44 = 16,234.40 : x
  2. Step 2: Convert to fraction form
    25,662.80/35,422.44 = 16,234.40/x
  3. Step 3: Cross multiply
    25,662.80x = 35,422.44 × 16,234.40
  4. Step 4: Simplify right side
    25,662.80x = 575,062,059.94
  5. Step 5: Solve for x
    x = 575,062,059.94/25,662.80
  6. Step 6: Final answer
    x = 22,408.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.