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Finding the Fourth Proportional to 23,038.91, 31,791.44 and 12,967.17

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Solution

The fourth proportional to 23,038.91, 31,791.44 and 12,967.17 is: 17,893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038.91 : 31,791.44 = 12,967.17 : x
  2. Step 2: Convert to fraction form
    23,038.91/31,791.44 = 12,967.17/x
  3. Step 3: Cross multiply
    23,038.91x = 31,791.44 × 12,967.17
  4. Step 4: Simplify right side
    23,038.91x = 412,244,942.19
  5. Step 5: Solve for x
    x = 412,244,942.19/23,038.91
  6. Step 6: Final answer
    x = 17,893.43

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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.