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Finding the Fourth Proportional to 13,408.94, 18,512.48 and 10,419.14

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Solution

The fourth proportional to 13,408.94, 18,512.48 and 10,419.14 is: 14,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.94 : 18,512.48 = 10,419.14 : x
  2. Step 2: Convert to fraction form
    13,408.94/18,512.48 = 10,419.14/x
  3. Step 3: Cross multiply
    13,408.94x = 18,512.48 × 10,419.14
  4. Step 4: Simplify right side
    13,408.94x = 192,884,120.87
  5. Step 5: Solve for x
    x = 192,884,120.87/13,408.94
  6. Step 6: Final answer
    x = 14,384.74

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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.