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Finding the Fourth Proportional to 23,101.44, 31,880 and 12,491.16

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Solution

The fourth proportional to 23,101.44, 31,880 and 12,491.16 is: 17,237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.44 : 31,880 = 12,491.16 : x
  2. Step 2: Convert to fraction form
    23,101.44/31,880 = 12,491.16/x
  3. Step 3: Cross multiply
    23,101.44x = 31,880 × 12,491.16
  4. Step 4: Simplify right side
    23,101.44x = 398,218,180.80
  5. Step 5: Solve for x
    x = 398,218,180.80/23,101.44
  6. Step 6: Final answer
    x = 17,237.81

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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.