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Finding the Fourth Proportional to 13,798.48, 18,993.82 and 12,027

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Solution

The fourth proportional to 13,798.48, 18,993.82 and 12,027 is: 16,555.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.48 : 18,993.82 = 12,027 : x
  2. Step 2: Convert to fraction form
    13,798.48/18,993.82 = 12,027/x
  3. Step 3: Cross multiply
    13,798.48x = 18,993.82 × 12,027
  4. Step 4: Simplify right side
    13,798.48x = 228,438,673.14
  5. Step 5: Solve for x
    x = 228,438,673.14/13,798.48
  6. Step 6: Final answer
    x = 16,555.35

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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.