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Finding the Fourth Proportional to 23,007.31, 31,749.37 and 12,936.17

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Solution

The fourth proportional to 23,007.31, 31,749.37 and 12,936.17 is: 17,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007.31 : 31,749.37 = 12,936.17 : x
  2. Step 2: Convert to fraction form
    23,007.31/31,749.37 = 12,936.17/x
  3. Step 3: Cross multiply
    23,007.31x = 31,749.37 × 12,936.17
  4. Step 4: Simplify right side
    23,007.31x = 410,715,294.75
  5. Step 5: Solve for x
    x = 410,715,294.75/23,007.31
  6. Step 6: Final answer
    x = 17,851.51

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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.