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Finding the Fourth Proportional to 12,029.82, 16,601.04 and 6,926.33

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Solution

The fourth proportional to 12,029.82, 16,601.04 and 6,926.33 is: 9,558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.82 : 16,601.04 = 6,926.33 : x
  2. Step 2: Convert to fraction form
    12,029.82/16,601.04 = 6,926.33/x
  3. Step 3: Cross multiply
    12,029.82x = 16,601.04 × 6,926.33
  4. Step 4: Simplify right side
    12,029.82x = 114,984,281.38
  5. Step 5: Solve for x
    x = 114,984,281.38/12,029.82
  6. Step 6: Final answer
    x = 9,558.27

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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.