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Finding the Fourth Proportional to 17,223, 23,767.74 and 9,771

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Solution

The fourth proportional to 17,223, 23,767.74 and 9,771 is: 13,483.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,223 : 23,767.74 = 9,771 : x
  2. Step 2: Convert to fraction form
    17,223/23,767.74 = 9,771/x
  3. Step 3: Cross multiply
    17,223x = 23,767.74 × 9,771
  4. Step 4: Simplify right side
    17,223x = 232,234,587.54
  5. Step 5: Solve for x
    x = 232,234,587.54/17,223
  6. Step 6: Final answer
    x = 13,483.98

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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.