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Finding the Fourth Proportional to 18,549.93, 27,826.17 and 7,456.64

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Solution

The fourth proportional to 18,549.93, 27,826.17 and 7,456.64 is: 11,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549.93 : 27,826.17 = 7,456.64 : x
  2. Step 2: Convert to fraction form
    18,549.93/27,826.17 = 7,456.64/x
  3. Step 3: Cross multiply
    18,549.93x = 27,826.17 × 7,456.64
  4. Step 4: Simplify right side
    18,549.93x = 207,489,662.70
  5. Step 5: Solve for x
    x = 207,489,662.70/18,549.93
  6. Step 6: Final answer
    x = 11,185.47

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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.