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Finding the Fourth Proportional to 17,322, 23,906.70 and 9,769.88

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Solution

The fourth proportional to 17,322, 23,906.70 and 9,769.88 is: 13,483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,322 : 23,906.70 = 9,769.88 : x
  2. Step 2: Convert to fraction form
    17,322/23,906.70 = 9,769.88/x
  3. Step 3: Cross multiply
    17,322x = 23,906.70 × 9,769.88
  4. Step 4: Simplify right side
    17,322x = 233,565,590.20
  5. Step 5: Solve for x
    x = 233,565,590.20/17,322
  6. Step 6: Final answer
    x = 13,483.75

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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.