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Finding the Fourth Proportional to 23,102.33, 31,881.19 and 12,491.94

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Solution

The fourth proportional to 23,102.33, 31,881.19 and 12,491.94 is: 17,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.33 : 31,881.19 = 12,491.94 : x
  2. Step 2: Convert to fraction form
    23,102.33/31,881.19 = 12,491.94/x
  3. Step 3: Cross multiply
    23,102.33x = 31,881.19 × 12,491.94
  4. Step 4: Simplify right side
    23,102.33x = 398,257,912.61
  5. Step 5: Solve for x
    x = 398,257,912.61/23,102.33
  6. Step 6: Final answer
    x = 17,238.86

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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.