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Finding the Fourth Proportional to 12,595.92, 17,382.36 and 6,930.54

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Solution

The fourth proportional to 12,595.92, 17,382.36 and 6,930.54 is: 9,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.92 : 17,382.36 = 6,930.54 : x
  2. Step 2: Convert to fraction form
    12,595.92/17,382.36 = 6,930.54/x
  3. Step 3: Cross multiply
    12,595.92x = 17,382.36 × 6,930.54
  4. Step 4: Simplify right side
    12,595.92x = 120,469,232.45
  5. Step 5: Solve for x
    x = 120,469,232.45/12,595.92
  6. Step 6: Final answer
    x = 9,564.15

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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.