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Finding the Fourth Proportional to 12,142.92, 18,186.03 and 9,347.41

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Solution

The fourth proportional to 12,142.92, 18,186.03 and 9,347.41 is: 13,999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.92 : 18,186.03 = 9,347.41 : x
  2. Step 2: Convert to fraction form
    12,142.92/18,186.03 = 9,347.41/x
  3. Step 3: Cross multiply
    12,142.92x = 18,186.03 × 9,347.41
  4. Step 4: Simplify right side
    12,142.92x = 169,992,233.22
  5. Step 5: Solve for x
    x = 169,992,233.22/12,142.92
  6. Step 6: Final answer
    x = 13,999.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.