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Finding the Fourth Proportional to 13,568.20, 20,355.21 and 4,208.02

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Solution

The fourth proportional to 13,568.20, 20,355.21 and 4,208.02 is: 6,312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,568.20 : 20,355.21 = 4,208.02 : x
  2. Step 2: Convert to fraction form
    13,568.20/20,355.21 = 4,208.02/x
  3. Step 3: Cross multiply
    13,568.20x = 20,355.21 × 4,208.02
  4. Step 4: Simplify right side
    13,568.20x = 85,655,007.97
  5. Step 5: Solve for x
    x = 85,655,007.97/13,568.20
  6. Step 6: Final answer
    x = 6,312.93

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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.