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Finding the Fourth Proportional to 13,690.34, 18,890.94 and 8,027

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Solution

The fourth proportional to 13,690.34, 18,890.94 and 8,027 is: 11,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.34 : 18,890.94 = 8,027 : x
  2. Step 2: Convert to fraction form
    13,690.34/18,890.94 = 8,027/x
  3. Step 3: Cross multiply
    13,690.34x = 18,890.94 × 8,027
  4. Step 4: Simplify right side
    13,690.34x = 151,637,575.38
  5. Step 5: Solve for x
    x = 151,637,575.38/13,690.34
  6. Step 6: Final answer
    x = 11,076.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.