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Finding the Fourth Proportional to 12,138.89, 16,751.99 and 6,833.90

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Solution

The fourth proportional to 12,138.89, 16,751.99 and 6,833.90 is: 9,430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.89 : 16,751.99 = 6,833.90 : x
  2. Step 2: Convert to fraction form
    12,138.89/16,751.99 = 6,833.90/x
  3. Step 3: Cross multiply
    12,138.89x = 16,751.99 × 6,833.90
  4. Step 4: Simplify right side
    12,138.89x = 114,481,424.46
  5. Step 5: Solve for x
    x = 114,481,424.46/12,138.89
  6. Step 6: Final answer
    x = 9,430.96

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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.