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Finding the Fourth Proportional to 12,596.08, 17,382.90 and 6,930.76

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Solution

The fourth proportional to 12,596.08, 17,382.90 and 6,930.76 is: 9,564.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.08 : 17,382.90 = 6,930.76 : x
  2. Step 2: Convert to fraction form
    12,596.08/17,382.90 = 6,930.76/x
  3. Step 3: Cross multiply
    12,596.08x = 17,382.90 × 6,930.76
  4. Step 4: Simplify right side
    12,596.08x = 120,476,708.00
  5. Step 5: Solve for x
    x = 120,476,708.00/12,596.08
  6. Step 6: Final answer
    x = 9,564.62

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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.