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Finding the Fourth Proportional to 12,486.08, 18,729.06 and 4,164.50

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Solution

The fourth proportional to 12,486.08, 18,729.06 and 4,164.50 is: 6,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.08 : 18,729.06 = 4,164.50 : x
  2. Step 2: Convert to fraction form
    12,486.08/18,729.06 = 4,164.50/x
  3. Step 3: Cross multiply
    12,486.08x = 18,729.06 × 4,164.50
  4. Step 4: Simplify right side
    12,486.08x = 77,997,170.37
  5. Step 5: Solve for x
    x = 77,997,170.37/12,486.08
  6. Step 6: Final answer
    x = 6,246.73

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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.