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Finding the Fourth Proportional to 20,153.50, 27,825.38 and 18,022.40

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Solution

The fourth proportional to 20,153.50, 27,825.38 and 18,022.40 is: 24,883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.50 : 27,825.38 = 18,022.40 : x
  2. Step 2: Convert to fraction form
    20,153.50/27,825.38 = 18,022.40/x
  3. Step 3: Cross multiply
    20,153.50x = 27,825.38 × 18,022.40
  4. Step 4: Simplify right side
    20,153.50x = 501,480,128.51
  5. Step 5: Solve for x
    x = 501,480,128.51/20,153.50
  6. Step 6: Final answer
    x = 24,883.03

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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.