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Finding the Fourth Proportional to 17,201.25, 25,803.09 and 6,813

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Solution

The fourth proportional to 17,201.25, 25,803.09 and 6,813 is: 10,219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.25 : 25,803.09 = 6,813 : x
  2. Step 2: Convert to fraction form
    17,201.25/25,803.09 = 6,813/x
  3. Step 3: Cross multiply
    17,201.25x = 25,803.09 × 6,813
  4. Step 4: Simplify right side
    17,201.25x = 175,796,452.17
  5. Step 5: Solve for x
    x = 175,796,452.17/17,201.25
  6. Step 6: Final answer
    x = 10,219.98

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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.