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Finding the Fourth Proportional to 13,412.80, 18,503.76 and 8,377.84

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Solution

The fourth proportional to 13,412.80, 18,503.76 and 8,377.84 is: 11,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.80 : 18,503.76 = 8,377.84 : x
  2. Step 2: Convert to fraction form
    13,412.80/18,503.76 = 8,377.84/x
  3. Step 3: Cross multiply
    13,412.80x = 18,503.76 × 8,377.84
  4. Step 4: Simplify right side
    13,412.80x = 155,021,540.68
  5. Step 5: Solve for x
    x = 155,021,540.68/13,412.80
  6. Step 6: Final answer
    x = 11,557.73

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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.