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Finding the Fourth Proportional to 13,905.28, 20,866.04 and 5,146.32

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Solution

The fourth proportional to 13,905.28, 20,866.04 and 5,146.32 is: 7,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905.28 : 20,866.04 = 5,146.32 : x
  2. Step 2: Convert to fraction form
    13,905.28/20,866.04 = 5,146.32/x
  3. Step 3: Cross multiply
    13,905.28x = 20,866.04 × 5,146.32
  4. Step 4: Simplify right side
    13,905.28x = 107,383,318.97
  5. Step 5: Solve for x
    x = 107,383,318.97/13,905.28
  6. Step 6: Final answer
    x = 7,722.49

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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.