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Finding the Fourth Proportional to 23,145.67, 31,940.96 and 12,535.28

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Solution

The fourth proportional to 23,145.67, 31,940.96 and 12,535.28 is: 17,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145.67 : 31,940.96 = 12,535.28 : x
  2. Step 2: Convert to fraction form
    23,145.67/31,940.96 = 12,535.28/x
  3. Step 3: Cross multiply
    23,145.67x = 31,940.96 × 12,535.28
  4. Step 4: Simplify right side
    23,145.67x = 400,388,654.69
  5. Step 5: Solve for x
    x = 400,388,654.69/23,145.67
  6. Step 6: Final answer
    x = 17,298.64

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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.