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Finding the Fourth Proportional to 17,908.82, 26,852.73 and 6,816.32

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Solution

The fourth proportional to 17,908.82, 26,852.73 and 6,816.32 is: 10,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,908.82 : 26,852.73 = 6,816.32 : x
  2. Step 2: Convert to fraction form
    17,908.82/26,852.73 = 6,816.32/x
  3. Step 3: Cross multiply
    17,908.82x = 26,852.73 × 6,816.32
  4. Step 4: Simplify right side
    17,908.82x = 183,036,800.55
  5. Step 5: Solve for x
    x = 183,036,800.55/17,908.82
  6. Step 6: Final answer
    x = 10,220.49

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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.