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Finding the Fourth Proportional to 13,111.23, 18,092.97 and 7,142.94

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Solution

The fourth proportional to 13,111.23, 18,092.97 and 7,142.94 is: 9,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,111.23 : 18,092.97 = 7,142.94 : x
  2. Step 2: Convert to fraction form
    13,111.23/18,092.97 = 7,142.94/x
  3. Step 3: Cross multiply
    13,111.23x = 18,092.97 × 7,142.94
  4. Step 4: Simplify right side
    13,111.23x = 129,236,999.13
  5. Step 5: Solve for x
    x = 129,236,999.13/13,111.23
  6. Step 6: Final answer
    x = 9,856.97

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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.