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Finding the Fourth Proportional to 23,957.96, 35,936.93 and 9,171.41

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Solution

The fourth proportional to 23,957.96, 35,936.93 and 9,171.41 is: 13,757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,957.96 : 35,936.93 = 9,171.41 : x
  2. Step 2: Convert to fraction form
    23,957.96/35,936.93 = 9,171.41/x
  3. Step 3: Cross multiply
    23,957.96x = 35,936.93 × 9,171.41
  4. Step 4: Simplify right side
    23,957.96x = 329,592,162.42
  5. Step 5: Solve for x
    x = 329,592,162.42/23,957.96
  6. Step 6: Final answer
    x = 13,757.11

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Why These Related Problems?

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