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Finding the Fourth Proportional to 13,538.25, 20,299.95 and 4,175.67

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Solution

The fourth proportional to 13,538.25, 20,299.95 and 4,175.67 is: 6,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.25 : 20,299.95 = 4,175.67 : x
  2. Step 2: Convert to fraction form
    13,538.25/20,299.95 = 4,175.67/x
  3. Step 3: Cross multiply
    13,538.25x = 20,299.95 × 4,175.67
  4. Step 4: Simplify right side
    13,538.25x = 84,765,892.22
  5. Step 5: Solve for x
    x = 84,765,892.22/13,538.25
  6. Step 6: Final answer
    x = 6,261.21

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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.