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Finding the Fourth Proportional to 13,422.84, 20,121.84 and 5,100.36

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Solution

The fourth proportional to 13,422.84, 20,121.84 and 5,100.36 is: 7,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.84 : 20,121.84 = 5,100.36 : x
  2. Step 2: Convert to fraction form
    13,422.84/20,121.84 = 5,100.36/x
  3. Step 3: Cross multiply
    13,422.84x = 20,121.84 × 5,100.36
  4. Step 4: Simplify right side
    13,422.84x = 102,628,627.86
  5. Step 5: Solve for x
    x = 102,628,627.86/13,422.84
  6. Step 6: Final answer
    x = 7,645.82

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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.