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Finding the Fourth Proportional to 13,825.57, 20,738.33 and 11,039.18

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Solution

The fourth proportional to 13,825.57, 20,738.33 and 11,039.18 is: 16,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.57 : 20,738.33 = 11,039.18 : x
  2. Step 2: Convert to fraction form
    13,825.57/20,738.33 = 11,039.18/x
  3. Step 3: Cross multiply
    13,825.57x = 20,738.33 × 11,039.18
  4. Step 4: Simplify right side
    13,825.57x = 228,934,195.82
  5. Step 5: Solve for x
    x = 228,934,195.82/13,825.57
  6. Step 6: Final answer
    x = 16,558.76

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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.