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Finding the Fourth Proportional to 13,833.45, 20,744.10 and 5,510.70

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Solution

The fourth proportional to 13,833.45, 20,744.10 and 5,510.70 is: 8,263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.45 : 20,744.10 = 5,510.70 : x
  2. Step 2: Convert to fraction form
    13,833.45/20,744.10 = 5,510.70/x
  3. Step 3: Cross multiply
    13,833.45x = 20,744.10 × 5,510.70
  4. Step 4: Simplify right side
    13,833.45x = 114,314,511.87
  5. Step 5: Solve for x
    x = 114,314,511.87/13,833.45
  6. Step 6: Final answer
    x = 8,263.63

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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.