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Finding the Fourth Proportional to 13,503.81, 18,632.03 and 8,197.61

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Solution

The fourth proportional to 13,503.81, 18,632.03 and 8,197.61 is: 11,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.81 : 18,632.03 = 8,197.61 : x
  2. Step 2: Convert to fraction form
    13,503.81/18,632.03 = 8,197.61/x
  3. Step 3: Cross multiply
    13,503.81x = 18,632.03 × 8,197.61
  4. Step 4: Simplify right side
    13,503.81x = 152,737,981.30
  5. Step 5: Solve for x
    x = 152,737,981.30/13,503.81
  6. Step 6: Final answer
    x = 11,310.73

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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.