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Finding the Fourth Proportional to 13,768.56, 18,992.10 and 12,004.38

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Solution

The fourth proportional to 13,768.56, 18,992.10 and 12,004.38 is: 16,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.56 : 18,992.10 = 12,004.38 : x
  2. Step 2: Convert to fraction form
    13,768.56/18,992.10 = 12,004.38/x
  3. Step 3: Cross multiply
    13,768.56x = 18,992.10 × 12,004.38
  4. Step 4: Simplify right side
    13,768.56x = 227,988,385.40
  5. Step 5: Solve for x
    x = 227,988,385.40/13,768.56
  6. Step 6: Final answer
    x = 16,558.62

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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.