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Finding the Fourth Proportional to 13,760.20, 18,992.10 and 9,044.92

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Solution

The fourth proportional to 13,760.20, 18,992.10 and 9,044.92 is: 12,483.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.20 : 18,992.10 = 9,044.92 : x
  2. Step 2: Convert to fraction form
    13,760.20/18,992.10 = 9,044.92/x
  3. Step 3: Cross multiply
    13,760.20x = 18,992.10 × 9,044.92
  4. Step 4: Simplify right side
    13,760.20x = 171,782,025.13
  5. Step 5: Solve for x
    x = 171,782,025.13/13,760.20
  6. Step 6: Final answer
    x = 12,483.98

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