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Finding the Fourth Proportional to 18,566.25, 27,853.70 and 6,254.25

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Solution

The fourth proportional to 18,566.25, 27,853.70 and 6,254.25 is: 9,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,566.25 : 27,853.70 = 6,254.25 : x
  2. Step 2: Convert to fraction form
    18,566.25/27,853.70 = 6,254.25/x
  3. Step 3: Cross multiply
    18,566.25x = 27,853.70 × 6,254.25
  4. Step 4: Simplify right side
    18,566.25x = 174,203,971.95
  5. Step 5: Solve for x
    x = 174,203,971.95/18,566.25
  6. Step 6: Final answer
    x = 9,382.83

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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.