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Finding the Fourth Proportional to 12,144, 18,203.69 and 5,898.75

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Solution

The fourth proportional to 12,144, 18,203.69 and 5,898.75 is: 8,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144 : 18,203.69 = 5,898.75 : x
  2. Step 2: Convert to fraction form
    12,144/18,203.69 = 5,898.75/x
  3. Step 3: Cross multiply
    12,144x = 18,203.69 × 5,898.75
  4. Step 4: Simplify right side
    12,144x = 107,379,016.39
  5. Step 5: Solve for x
    x = 107,379,016.39/12,144
  6. Step 6: Final answer
    x = 8,842.15

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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.