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Finding the Fourth Proportional to 12,015.82, 16,573.05 and 8,029.93

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Solution

The fourth proportional to 12,015.82, 16,573.05 and 8,029.93 is: 11,075.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.82 : 16,573.05 = 8,029.93 : x
  2. Step 2: Convert to fraction form
    12,015.82/16,573.05 = 8,029.93/x
  3. Step 3: Cross multiply
    12,015.82x = 16,573.05 × 8,029.93
  4. Step 4: Simplify right side
    12,015.82x = 133,080,431.39
  5. Step 5: Solve for x
    x = 133,080,431.39/12,015.82
  6. Step 6: Final answer
    x = 11,075.43

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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.