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Finding the Fourth Proportional to 17,202.28, 25,804.62 and 6,814

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Solution

The fourth proportional to 17,202.28, 25,804.62 and 6,814 is: 10,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.28 : 25,804.62 = 6,814 : x
  2. Step 2: Convert to fraction form
    17,202.28/25,804.62 = 6,814/x
  3. Step 3: Cross multiply
    17,202.28x = 25,804.62 × 6,814
  4. Step 4: Simplify right side
    17,202.28x = 175,832,680.68
  5. Step 5: Solve for x
    x = 175,832,680.68/17,202.28
  6. Step 6: Final answer
    x = 10,221.48

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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.