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Finding the Fourth Proportional to 13,517.98, 18,651.92 and 7,849.80

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Solution

The fourth proportional to 13,517.98, 18,651.92 and 7,849.80 is: 10,831.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.98 : 18,651.92 = 7,849.80 : x
  2. Step 2: Convert to fraction form
    13,517.98/18,651.92 = 7,849.80/x
  3. Step 3: Cross multiply
    13,517.98x = 18,651.92 × 7,849.80
  4. Step 4: Simplify right side
    13,517.98x = 146,413,802.37
  5. Step 5: Solve for x
    x = 146,413,802.37/13,517.98
  6. Step 6: Final answer
    x = 10,831.04

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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.