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Finding the Fourth Proportional to 22,722, 34,103.68 and 11,636.32

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Solution

The fourth proportional to 22,722, 34,103.68 and 11,636.32 is: 17,465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,722 : 34,103.68 = 11,636.32 : x
  2. Step 2: Convert to fraction form
    22,722/34,103.68 = 11,636.32/x
  3. Step 3: Cross multiply
    22,722x = 34,103.68 × 11,636.32
  4. Step 4: Simplify right side
    22,722x = 396,841,333.66
  5. Step 5: Solve for x
    x = 396,841,333.66/22,722
  6. Step 6: Final answer
    x = 17,465.07

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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.