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Finding the Fourth Proportional to 12,961.58, 17,889.51 and 8,429.87

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Solution

The fourth proportional to 12,961.58, 17,889.51 and 8,429.87 is: 11,634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.58 : 17,889.51 = 8,429.87 : x
  2. Step 2: Convert to fraction form
    12,961.58/17,889.51 = 8,429.87/x
  3. Step 3: Cross multiply
    12,961.58x = 17,889.51 × 8,429.87
  4. Step 4: Simplify right side
    12,961.58x = 150,806,154.22
  5. Step 5: Solve for x
    x = 150,806,154.22/12,961.58
  6. Step 6: Final answer
    x = 11,634.86

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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.