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Finding the Fourth Proportional to 12,025.99, 16,596.80 and 6,991.84

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Solution

The fourth proportional to 12,025.99, 16,596.80 and 6,991.84 is: 9,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.99 : 16,596.80 = 6,991.84 : x
  2. Step 2: Convert to fraction form
    12,025.99/16,596.80 = 6,991.84/x
  3. Step 3: Cross multiply
    12,025.99x = 16,596.80 × 6,991.84
  4. Step 4: Simplify right side
    12,025.99x = 116,042,170.11
  5. Step 5: Solve for x
    x = 116,042,170.11/12,025.99
  6. Step 6: Final answer
    x = 9,649.28

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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.