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Finding the Fourth Proportional to 13,754.12, 20,633.96 and 5,438.08

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Solution

The fourth proportional to 13,754.12, 20,633.96 and 5,438.08 is: 8,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.12 : 20,633.96 = 5,438.08 : x
  2. Step 2: Convert to fraction form
    13,754.12/20,633.96 = 5,438.08/x
  3. Step 3: Cross multiply
    13,754.12x = 20,633.96 × 5,438.08
  4. Step 4: Simplify right side
    13,754.12x = 112,209,125.20
  5. Step 5: Solve for x
    x = 112,209,125.20/13,754.12
  6. Step 6: Final answer
    x = 8,158.22

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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.