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Finding the Fourth Proportional to 13,538.18, 20,299.93 and 6,138.60

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Solution

The fourth proportional to 13,538.18, 20,299.93 and 6,138.60 is: 9,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.18 : 20,299.93 = 6,138.60 : x
  2. Step 2: Convert to fraction form
    13,538.18/20,299.93 = 6,138.60/x
  3. Step 3: Cross multiply
    13,538.18x = 20,299.93 × 6,138.60
  4. Step 4: Simplify right side
    13,538.18x = 124,613,150.30
  5. Step 5: Solve for x
    x = 124,613,150.30/13,538.18
  6. Step 6: Final answer
    x = 9,204.57

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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.