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Finding the Fourth Proportional to 12,816.81, 17,676.15 and 8,338.93

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Solution

The fourth proportional to 12,816.81, 17,676.15 and 8,338.93 is: 11,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.81 : 17,676.15 = 8,338.93 : x
  2. Step 2: Convert to fraction form
    12,816.81/17,676.15 = 8,338.93/x
  3. Step 3: Cross multiply
    12,816.81x = 17,676.15 × 8,338.93
  4. Step 4: Simplify right side
    12,816.81x = 147,400,177.52
  5. Step 5: Solve for x
    x = 147,400,177.52/12,816.81
  6. Step 6: Final answer
    x = 11,500.54

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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.