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Finding the Fourth Proportional to 13,538.54, 20,305.99 and 4,772.32

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Solution

The fourth proportional to 13,538.54, 20,305.99 and 4,772.32 is: 7,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.54 : 20,305.99 = 4,772.32 : x
  2. Step 2: Convert to fraction form
    13,538.54/20,305.99 = 4,772.32/x
  3. Step 3: Cross multiply
    13,538.54x = 20,305.99 × 4,772.32
  4. Step 4: Simplify right side
    13,538.54x = 96,906,637.40
  5. Step 5: Solve for x
    x = 96,906,637.40/13,538.54
  6. Step 6: Final answer
    x = 7,157.83

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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.