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Finding the Fourth Proportional to 12,176.80, 18,265.20 and 11,265.55

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Solution

The fourth proportional to 12,176.80, 18,265.20 and 11,265.55 is: 16,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.80 : 18,265.20 = 11,265.55 : x
  2. Step 2: Convert to fraction form
    12,176.80/18,265.20 = 11,265.55/x
  3. Step 3: Cross multiply
    12,176.80x = 18,265.20 × 11,265.55
  4. Step 4: Simplify right side
    12,176.80x = 205,767,523.86
  5. Step 5: Solve for x
    x = 205,767,523.86/12,176.80
  6. Step 6: Final answer
    x = 16,898.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.