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Finding the Fourth Proportional to 13,777.56, 20,653.84 and 5,006.28

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Solution

The fourth proportional to 13,777.56, 20,653.84 and 5,006.28 is: 7,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.56 : 20,653.84 = 5,006.28 : x
  2. Step 2: Convert to fraction form
    13,777.56/20,653.84 = 5,006.28/x
  3. Step 3: Cross multiply
    13,777.56x = 20,653.84 × 5,006.28
  4. Step 4: Simplify right side
    13,777.56x = 103,398,906.12
  5. Step 5: Solve for x
    x = 103,398,906.12/13,777.56
  6. Step 6: Final answer
    x = 7,504.88

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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.