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Finding the Fourth Proportional to 17,138.40, 25,664.40 and 16,360.80

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Solution

The fourth proportional to 17,138.40, 25,664.40 and 16,360.80 is: 24,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.40 : 25,664.40 = 16,360.80 : x
  2. Step 2: Convert to fraction form
    17,138.40/25,664.40 = 16,360.80/x
  3. Step 3: Cross multiply
    17,138.40x = 25,664.40 × 16,360.80
  4. Step 4: Simplify right side
    17,138.40x = 419,890,115.52
  5. Step 5: Solve for x
    x = 419,890,115.52/17,138.40
  6. Step 6: Final answer
    x = 24,499.96

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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.