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Finding the Fourth Proportional to 23,939.63, 35,911.89 and 9,160.97

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Solution

The fourth proportional to 23,939.63, 35,911.89 and 9,160.97 is: 13,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,939.63 : 35,911.89 = 9,160.97 : x
  2. Step 2: Convert to fraction form
    23,939.63/35,911.89 = 9,160.97/x
  3. Step 3: Cross multiply
    23,939.63x = 35,911.89 × 9,160.97
  4. Step 4: Simplify right side
    23,939.63x = 328,987,567.37
  5. Step 5: Solve for x
    x = 328,987,567.37/23,939.63
  6. Step 6: Final answer
    x = 13,742.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.