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Finding the Fourth Proportional to 13,135.14, 18,126.48 and 8,419.41

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Solution

The fourth proportional to 13,135.14, 18,126.48 and 8,419.41 is: 11,618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.14 : 18,126.48 = 8,419.41 : x
  2. Step 2: Convert to fraction form
    13,135.14/18,126.48 = 8,419.41/x
  3. Step 3: Cross multiply
    13,135.14x = 18,126.48 × 8,419.41
  4. Step 4: Simplify right side
    13,135.14x = 152,614,266.98
  5. Step 5: Solve for x
    x = 152,614,266.98/13,135.14
  6. Step 6: Final answer
    x = 11,618.78

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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.