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Finding the Fourth Proportional to 13,047.24, 18,005.22 and 7,741.92

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Solution

The fourth proportional to 13,047.24, 18,005.22 and 7,741.92 is: 10,683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.24 : 18,005.22 = 7,741.92 : x
  2. Step 2: Convert to fraction form
    13,047.24/18,005.22 = 7,741.92/x
  3. Step 3: Cross multiply
    13,047.24x = 18,005.22 × 7,741.92
  4. Step 4: Simplify right side
    13,047.24x = 139,394,972.82
  5. Step 5: Solve for x
    x = 139,394,972.82/13,047.24
  6. Step 6: Final answer
    x = 10,683.87

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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.