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Finding the Fourth Proportional to 17,213.54, 23,756.34 and 9,659.88

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Solution

The fourth proportional to 17,213.54, 23,756.34 and 9,659.88 is: 13,331.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,213.54 : 23,756.34 = 9,659.88 : x
  2. Step 2: Convert to fraction form
    17,213.54/23,756.34 = 9,659.88/x
  3. Step 3: Cross multiply
    17,213.54x = 23,756.34 × 9,659.88
  4. Step 4: Simplify right side
    17,213.54x = 229,483,393.64
  5. Step 5: Solve for x
    x = 229,483,393.64/17,213.54
  6. Step 6: Final answer
    x = 13,331.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.