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Finding the Fourth Proportional to 12,029.94, 16,602.21 and 8,052.66

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Solution

The fourth proportional to 12,029.94, 16,602.21 and 8,052.66 is: 11,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.94 : 16,602.21 = 8,052.66 : x
  2. Step 2: Convert to fraction form
    12,029.94/16,602.21 = 8,052.66/x
  3. Step 3: Cross multiply
    12,029.94x = 16,602.21 × 8,052.66
  4. Step 4: Simplify right side
    12,029.94x = 133,691,952.38
  5. Step 5: Solve for x
    x = 133,691,952.38/12,029.94
  6. Step 6: Final answer
    x = 11,113.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.