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Finding the Fourth Proportional to 13,180.67, 18,188.78 and 7,878.41

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Solution

The fourth proportional to 13,180.67, 18,188.78 and 7,878.41 is: 10,871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180.67 : 18,188.78 = 7,878.41 : x
  2. Step 2: Convert to fraction form
    13,180.67/18,188.78 = 7,878.41/x
  3. Step 3: Cross multiply
    13,180.67x = 18,188.78 × 7,878.41
  4. Step 4: Simplify right side
    13,180.67x = 143,298,685.94
  5. Step 5: Solve for x
    x = 143,298,685.94/13,180.67
  6. Step 6: Final answer
    x = 10,871.88

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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.