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Finding the Fourth Proportional to 12,534.56, 18,889.90 and 11,286.68

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Solution

The fourth proportional to 12,534.56, 18,889.90 and 11,286.68 is: 17,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.56 : 18,889.90 = 11,286.68 : x
  2. Step 2: Convert to fraction form
    12,534.56/18,889.90 = 11,286.68/x
  3. Step 3: Cross multiply
    12,534.56x = 18,889.90 × 11,286.68
  4. Step 4: Simplify right side
    12,534.56x = 213,204,256.53
  5. Step 5: Solve for x
    x = 213,204,256.53/12,534.56
  6. Step 6: Final answer
    x = 17,009.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.