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Finding the Fourth Proportional to 13,806.84, 20,710.02 and 3,418.56

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Solution

The fourth proportional to 13,806.84, 20,710.02 and 3,418.56 is: 5,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.84 : 20,710.02 = 3,418.56 : x
  2. Step 2: Convert to fraction form
    13,806.84/20,710.02 = 3,418.56/x
  3. Step 3: Cross multiply
    13,806.84x = 20,710.02 × 3,418.56
  4. Step 4: Simplify right side
    13,806.84x = 70,798,445.97
  5. Step 5: Solve for x
    x = 70,798,445.97/13,806.84
  6. Step 6: Final answer
    x = 5,127.78

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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.