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Finding the Fourth Proportional to 12,138.85, 16,731.93 and 9,481.65

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Solution

The fourth proportional to 12,138.85, 16,731.93 and 9,481.65 is: 13,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.85 : 16,731.93 = 9,481.65 : x
  2. Step 2: Convert to fraction form
    12,138.85/16,731.93 = 9,481.65/x
  3. Step 3: Cross multiply
    12,138.85x = 16,731.93 × 9,481.65
  4. Step 4: Simplify right side
    12,138.85x = 158,646,304.08
  5. Step 5: Solve for x
    x = 158,646,304.08/12,138.85
  6. Step 6: Final answer
    x = 13,069.30

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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.