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Finding the Fourth Proportional to 17,128, 23,638.56 and 9,676.48

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Solution

The fourth proportional to 17,128, 23,638.56 and 9,676.48 is: 13,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,128 : 23,638.56 = 9,676.48 : x
  2. Step 2: Convert to fraction form
    17,128/23,638.56 = 9,676.48/x
  3. Step 3: Cross multiply
    17,128x = 23,638.56 × 9,676.48
  4. Step 4: Simplify right side
    17,128x = 228,738,053.07
  5. Step 5: Solve for x
    x = 228,738,053.07/17,128
  6. Step 6: Final answer
    x = 13,354.63

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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.