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Finding the Fourth Proportional to 13,494.56, 20,228.70 and 6,100.88

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Solution

The fourth proportional to 13,494.56, 20,228.70 and 6,100.88 is: 9,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.56 : 20,228.70 = 6,100.88 : x
  2. Step 2: Convert to fraction form
    13,494.56/20,228.70 = 6,100.88/x
  3. Step 3: Cross multiply
    13,494.56x = 20,228.70 × 6,100.88
  4. Step 4: Simplify right side
    13,494.56x = 123,412,871.26
  5. Step 5: Solve for x
    x = 123,412,871.26/13,494.56
  6. Step 6: Final answer
    x = 9,145.38

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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.