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Finding the Fourth Proportional to 18,286.50, 27,429.75 and 6,437.48

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Solution

The fourth proportional to 18,286.50, 27,429.75 and 6,437.48 is: 9,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,286.50 : 27,429.75 = 6,437.48 : x
  2. Step 2: Convert to fraction form
    18,286.50/27,429.75 = 6,437.48/x
  3. Step 3: Cross multiply
    18,286.50x = 27,429.75 × 6,437.48
  4. Step 4: Simplify right side
    18,286.50x = 176,578,467.03
  5. Step 5: Solve for x
    x = 176,578,467.03/18,286.50
  6. Step 6: Final answer
    x = 9,656.22

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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.