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Finding the Fourth Proportional to 17,240, 23,794.08 and 10,168.16

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Solution

The fourth proportional to 17,240, 23,794.08 and 10,168.16 is: 14,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,240 : 23,794.08 = 10,168.16 : x
  2. Step 2: Convert to fraction form
    17,240/23,794.08 = 10,168.16/x
  3. Step 3: Cross multiply
    17,240x = 23,794.08 × 10,168.16
  4. Step 4: Simplify right side
    17,240x = 241,942,012.49
  5. Step 5: Solve for x
    x = 241,942,012.49/17,240
  6. Step 6: Final answer
    x = 14,033.76

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1.5x scale

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.