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Finding the Fourth Proportional to 12,129.95, 16,739.66 and 6,824.96

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Solution

The fourth proportional to 12,129.95, 16,739.66 and 6,824.96 is: 9,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.95 : 16,739.66 = 6,824.96 : x
  2. Step 2: Convert to fraction form
    12,129.95/16,739.66 = 6,824.96/x
  3. Step 3: Cross multiply
    12,129.95x = 16,739.66 × 6,824.96
  4. Step 4: Simplify right side
    12,129.95x = 114,247,506.05
  5. Step 5: Solve for x
    x = 114,247,506.05/12,129.95
  6. Step 6: Final answer
    x = 9,418.63

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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.