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Finding the Fourth Proportional to 13,540.58, 20,309.59 and 4,178.09

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Solution

The fourth proportional to 13,540.58, 20,309.59 and 4,178.09 is: 6,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.58 : 20,309.59 = 4,178.09 : x
  2. Step 2: Convert to fraction form
    13,540.58/20,309.59 = 4,178.09/x
  3. Step 3: Cross multiply
    13,540.58x = 20,309.59 × 4,178.09
  4. Step 4: Simplify right side
    13,540.58x = 84,855,294.88
  5. Step 5: Solve for x
    x = 84,855,294.88/13,540.58
  6. Step 6: Final answer
    x = 6,266.74

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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.