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Finding the Fourth Proportional to 12,391.48, 17,114.44 and 8,161.46

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Solution

The fourth proportional to 12,391.48, 17,114.44 and 8,161.46 is: 11,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,391.48 : 17,114.44 = 8,161.46 : x
  2. Step 2: Convert to fraction form
    12,391.48/17,114.44 = 8,161.46/x
  3. Step 3: Cross multiply
    12,391.48x = 17,114.44 × 8,161.46
  4. Step 4: Simplify right side
    12,391.48x = 139,678,817.48
  5. Step 5: Solve for x
    x = 139,678,817.48/12,391.48
  6. Step 6: Final answer
    x = 11,272.17

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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.