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Finding the Fourth Proportional to 18,287.50, 27,431.26 and 4,436.50

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Solution

The fourth proportional to 18,287.50, 27,431.26 and 4,436.50 is: 6,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,287.50 : 27,431.26 = 4,436.50 : x
  2. Step 2: Convert to fraction form
    18,287.50/27,431.26 = 4,436.50/x
  3. Step 3: Cross multiply
    18,287.50x = 27,431.26 × 4,436.50
  4. Step 4: Simplify right side
    18,287.50x = 121,698,784.99
  5. Step 5: Solve for x
    x = 121,698,784.99/18,287.50
  6. Step 6: Final answer
    x = 6,654.75

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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.