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Finding the Fourth Proportional to 12,192.26, 16,833.42 and 7,484.67

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Solution

The fourth proportional to 12,192.26, 16,833.42 and 7,484.67 is: 10,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.26 : 16,833.42 = 7,484.67 : x
  2. Step 2: Convert to fraction form
    12,192.26/16,833.42 = 7,484.67/x
  3. Step 3: Cross multiply
    12,192.26x = 16,833.42 × 7,484.67
  4. Step 4: Simplify right side
    12,192.26x = 125,992,593.67
  5. Step 5: Solve for x
    x = 125,992,593.67/12,192.26
  6. Step 6: Final answer
    x = 10,333.82

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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.