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Finding the Fourth Proportional to 12,596.86, 17,382.98 and 6,930.68

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Solution

The fourth proportional to 12,596.86, 17,382.98 and 6,930.68 is: 9,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.86 : 17,382.98 = 6,930.68 : x
  2. Step 2: Convert to fraction form
    12,596.86/17,382.98 = 6,930.68/x
  3. Step 3: Cross multiply
    12,596.86x = 17,382.98 × 6,930.68
  4. Step 4: Simplify right side
    12,596.86x = 120,475,871.83
  5. Step 5: Solve for x
    x = 120,475,871.83/12,596.86
  6. Step 6: Final answer
    x = 9,563.96

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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.