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Finding the Fourth Proportional to 13,538.53, 20,311.42 and 4,178.17

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Solution

The fourth proportional to 13,538.53, 20,311.42 and 4,178.17 is: 6,268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.53 : 20,311.42 = 4,178.17 : x
  2. Step 2: Convert to fraction form
    13,538.53/20,311.42 = 4,178.17/x
  3. Step 3: Cross multiply
    13,538.53x = 20,311.42 × 4,178.17
  4. Step 4: Simplify right side
    13,538.53x = 84,864,565.70
  5. Step 5: Solve for x
    x = 84,864,565.70/13,538.53
  6. Step 6: Final answer
    x = 6,268.37

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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.