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Finding the Fourth Proportional to 12,961.68, 19,436.34 and 7,029.09

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Solution

The fourth proportional to 12,961.68, 19,436.34 and 7,029.09 is: 10,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.68 : 19,436.34 = 7,029.09 : x
  2. Step 2: Convert to fraction form
    12,961.68/19,436.34 = 7,029.09/x
  3. Step 3: Cross multiply
    12,961.68x = 19,436.34 × 7,029.09
  4. Step 4: Simplify right side
    12,961.68x = 136,619,783.13
  5. Step 5: Solve for x
    x = 136,619,783.13/12,961.68
  6. Step 6: Final answer
    x = 10,540.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.