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Finding the Fourth Proportional to 12,047.93, 16,630.62 and 9,072.38

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Solution

The fourth proportional to 12,047.93, 16,630.62 and 9,072.38 is: 12,523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,047.93 : 16,630.62 = 9,072.38 : x
  2. Step 2: Convert to fraction form
    12,047.93/16,630.62 = 9,072.38/x
  3. Step 3: Cross multiply
    12,047.93x = 16,630.62 × 9,072.38
  4. Step 4: Simplify right side
    12,047.93x = 150,879,304.28
  5. Step 5: Solve for x
    x = 150,879,304.28/12,047.93
  6. Step 6: Final answer
    x = 12,523.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.