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Finding the Fourth Proportional to 13,885.53, 20,833.50 and 8,266.44

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Solution

The fourth proportional to 13,885.53, 20,833.50 and 8,266.44 is: 12,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.53 : 20,833.50 = 8,266.44 : x
  2. Step 2: Convert to fraction form
    13,885.53/20,833.50 = 8,266.44/x
  3. Step 3: Cross multiply
    13,885.53x = 20,833.50 × 8,266.44
  4. Step 4: Simplify right side
    13,885.53x = 172,218,732.24
  5. Step 5: Solve for x
    x = 172,218,732.24/13,885.53
  6. Step 6: Final answer
    x = 12,402.75

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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.