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Finding the Fourth Proportional to 13,806.96, 20,706.32 and 5,039.82

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Solution

The fourth proportional to 13,806.96, 20,706.32 and 5,039.82 is: 7,558.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.96 : 20,706.32 = 5,039.82 : x
  2. Step 2: Convert to fraction form
    13,806.96/20,706.32 = 5,039.82/x
  3. Step 3: Cross multiply
    13,806.96x = 20,706.32 × 5,039.82
  4. Step 4: Simplify right side
    13,806.96x = 104,356,100.46
  5. Step 5: Solve for x
    x = 104,356,100.46/13,806.96
  6. Step 6: Final answer
    x = 7,558.22

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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.