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Finding the Fourth Proportional to 22,857.80, 31,473.66 and 20,009.23

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Solution

The fourth proportional to 22,857.80, 31,473.66 and 20,009.23 is: 27,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.80 : 31,473.66 = 20,009.23 : x
  2. Step 2: Convert to fraction form
    22,857.80/31,473.66 = 20,009.23/x
  3. Step 3: Cross multiply
    22,857.80x = 31,473.66 × 20,009.23
  4. Step 4: Simplify right side
    22,857.80x = 629,763,698.23
  5. Step 5: Solve for x
    x = 629,763,698.23/22,857.80
  6. Step 6: Final answer
    x = 27,551.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.