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Finding the Fourth Proportional to 14,236.68, 19,646.49 and 7,863.66

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Solution

The fourth proportional to 14,236.68, 19,646.49 and 7,863.66 is: 10,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,236.68 : 19,646.49 = 7,863.66 : x
  2. Step 2: Convert to fraction form
    14,236.68/19,646.49 = 7,863.66/x
  3. Step 3: Cross multiply
    14,236.68x = 19,646.49 × 7,863.66
  4. Step 4: Simplify right side
    14,236.68x = 154,493,317.55
  5. Step 5: Solve for x
    x = 154,493,317.55/14,236.68
  6. Step 6: Final answer
    x = 10,851.78

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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.