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Finding the Fourth Proportional to 17,309.80, 25,946.16 and 12,364.44

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Solution

The fourth proportional to 17,309.80, 25,946.16 and 12,364.44 is: 18,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,309.80 : 25,946.16 = 12,364.44 : x
  2. Step 2: Convert to fraction form
    17,309.80/25,946.16 = 12,364.44/x
  3. Step 3: Cross multiply
    17,309.80x = 25,946.16 × 12,364.44
  4. Step 4: Simplify right side
    17,309.80x = 320,809,738.55
  5. Step 5: Solve for x
    x = 320,809,738.55/17,309.80
  6. Step 6: Final answer
    x = 18,533.42

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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.