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Finding the Fourth Proportional to 27,082, 40,617.60 and 9,552.52

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Solution

The fourth proportional to 27,082, 40,617.60 and 9,552.52 is: 14,326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082 : 40,617.60 = 9,552.52 : x
  2. Step 2: Convert to fraction form
    27,082/40,617.60 = 9,552.52/x
  3. Step 3: Cross multiply
    27,082x = 40,617.60 × 9,552.52
  4. Step 4: Simplify right side
    27,082x = 388,000,436.35
  5. Step 5: Solve for x
    x = 388,000,436.35/27,082
  6. Step 6: Final answer
    x = 14,326.88

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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.