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Finding the Fourth Proportional to 12,261.66, 18,379.62 and 6,013.02

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Solution

The fourth proportional to 12,261.66, 18,379.62 and 6,013.02 is: 9,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.66 : 18,379.62 = 6,013.02 : x
  2. Step 2: Convert to fraction form
    12,261.66/18,379.62 = 6,013.02/x
  3. Step 3: Cross multiply
    12,261.66x = 18,379.62 × 6,013.02
  4. Step 4: Simplify right side
    12,261.66x = 110,517,022.65
  5. Step 5: Solve for x
    x = 110,517,022.65/12,261.66
  6. Step 6: Final answer
    x = 9,013.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.