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Finding the Fourth Proportional to 17,008, 23,471.04 and 9,556

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Solution

The fourth proportional to 17,008, 23,471.04 and 9,556 is: 13,187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,008 : 23,471.04 = 9,556 : x
  2. Step 2: Convert to fraction form
    17,008/23,471.04 = 9,556/x
  3. Step 3: Cross multiply
    17,008x = 23,471.04 × 9,556
  4. Step 4: Simplify right side
    17,008x = 224,289,258.24
  5. Step 5: Solve for x
    x = 224,289,258.24/17,008
  6. Step 6: Final answer
    x = 13,187.28

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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.