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Finding the Fourth Proportional to 17,149.60, 25,724.40 and 16,112.80

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Solution

The fourth proportional to 17,149.60, 25,724.40 and 16,112.80 is: 24,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,149.60 : 25,724.40 = 16,112.80 : x
  2. Step 2: Convert to fraction form
    17,149.60/25,724.40 = 16,112.80/x
  3. Step 3: Cross multiply
    17,149.60x = 25,724.40 × 16,112.80
  4. Step 4: Simplify right side
    17,149.60x = 414,492,112.32
  5. Step 5: Solve for x
    x = 414,492,112.32/17,149.60
  6. Step 6: Final answer
    x = 24,169.20

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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.