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Finding the Fourth Proportional to 17,308.55, 23,882.87 and 9,650.16

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Solution

The fourth proportional to 17,308.55, 23,882.87 and 9,650.16 is: 13,315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,308.55 : 23,882.87 = 9,650.16 : x
  2. Step 2: Convert to fraction form
    17,308.55/23,882.87 = 9,650.16/x
  3. Step 3: Cross multiply
    17,308.55x = 23,882.87 × 9,650.16
  4. Step 4: Simplify right side
    17,308.55x = 230,473,540.88
  5. Step 5: Solve for x
    x = 230,473,540.88/17,308.55
  6. Step 6: Final answer
    x = 13,315.59

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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.