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Finding the Fourth Proportional to 12,811.87, 17,676.28 and 10,114.57

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Solution

The fourth proportional to 12,811.87, 17,676.28 and 10,114.57 is: 13,954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.87 : 17,676.28 = 10,114.57 : x
  2. Step 2: Convert to fraction form
    12,811.87/17,676.28 = 10,114.57/x
  3. Step 3: Cross multiply
    12,811.87x = 17,676.28 × 10,114.57
  4. Step 4: Simplify right side
    12,811.87x = 178,787,949.24
  5. Step 5: Solve for x
    x = 178,787,949.24/12,811.87
  6. Step 6: Final answer
    x = 13,954.87

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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.