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Finding the Fourth Proportional to 17,201, 25,802.72 and 6,812.75

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Solution

The fourth proportional to 17,201, 25,802.72 and 6,812.75 is: 10,219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201 : 25,802.72 = 6,812.75 : x
  2. Step 2: Convert to fraction form
    17,201/25,802.72 = 6,812.75/x
  3. Step 3: Cross multiply
    17,201x = 25,802.72 × 6,812.75
  4. Step 4: Simplify right side
    17,201x = 175,787,480.68
  5. Step 5: Solve for x
    x = 175,787,480.68/17,201
  6. Step 6: Final answer
    x = 10,219.61

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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.