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Finding the Fourth Proportional to 13,797.48, 18,992.44 and 12,026

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Solution

The fourth proportional to 13,797.48, 18,992.44 and 12,026 is: 16,553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.48 : 18,992.44 = 12,026 : x
  2. Step 2: Convert to fraction form
    13,797.48/18,992.44 = 12,026/x
  3. Step 3: Cross multiply
    13,797.48x = 18,992.44 × 12,026
  4. Step 4: Simplify right side
    13,797.48x = 228,403,083.44
  5. Step 5: Solve for x
    x = 228,403,083.44/13,797.48
  6. Step 6: Final answer
    x = 16,553.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.