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Finding the Fourth Proportional to 23,896.80, 35,897.04 and 23,022

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Solution

The fourth proportional to 23,896.80, 35,897.04 and 23,022 is: 34,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896.80 : 35,897.04 = 23,022 : x
  2. Step 2: Convert to fraction form
    23,896.80/35,897.04 = 23,022/x
  3. Step 3: Cross multiply
    23,896.80x = 35,897.04 × 23,022
  4. Step 4: Simplify right side
    23,896.80x = 826,421,654.88
  5. Step 5: Solve for x
    x = 826,421,654.88/23,896.80
  6. Step 6: Final answer
    x = 34,582.94

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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.