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Finding the Fourth Proportional to 13,113.30, 18,102.92 and 8,338.05

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Solution

The fourth proportional to 13,113.30, 18,102.92 and 8,338.05 is: 11,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.30 : 18,102.92 = 8,338.05 : x
  2. Step 2: Convert to fraction form
    13,113.30/18,102.92 = 8,338.05/x
  3. Step 3: Cross multiply
    13,113.30x = 18,102.92 × 8,338.05
  4. Step 4: Simplify right side
    13,113.30x = 150,942,942.53
  5. Step 5: Solve for x
    x = 150,942,942.53/13,113.30
  6. Step 6: Final answer
    x = 11,510.68

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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.