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Finding the Fourth Proportional to 17,176, 25,767.84 and 6,232

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Solution

The fourth proportional to 17,176, 25,767.84 and 6,232 is: 9,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,176 : 25,767.84 = 6,232 : x
  2. Step 2: Convert to fraction form
    17,176/25,767.84 = 6,232/x
  3. Step 3: Cross multiply
    17,176x = 25,767.84 × 6,232
  4. Step 4: Simplify right side
    17,176x = 160,585,178.88
  5. Step 5: Solve for x
    x = 160,585,178.88/17,176
  6. Step 6: Final answer
    x = 9,349.39

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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.