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Finding the Fourth Proportional to 13,687.36, 20,423.54 and 12,851.44

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Solution

The fourth proportional to 13,687.36, 20,423.54 and 12,851.44 is: 19,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.36 : 20,423.54 = 12,851.44 : x
  2. Step 2: Convert to fraction form
    13,687.36/20,423.54 = 12,851.44/x
  3. Step 3: Cross multiply
    13,687.36x = 20,423.54 × 12,851.44
  4. Step 4: Simplify right side
    13,687.36x = 262,471,898.90
  5. Step 5: Solve for x
    x = 262,471,898.90/13,687.36
  6. Step 6: Final answer
    x = 19,176.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.