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Finding the Fourth Proportional to 20,048, 27,666.24 and 11,670.08

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Solution

The fourth proportional to 20,048, 27,666.24 and 11,670.08 is: 16,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048 : 27,666.24 = 11,670.08 : x
  2. Step 2: Convert to fraction form
    20,048/27,666.24 = 11,670.08/x
  3. Step 3: Cross multiply
    20,048x = 27,666.24 × 11,670.08
  4. Step 4: Simplify right side
    20,048x = 322,867,234.10
  5. Step 5: Solve for x
    x = 322,867,234.10/20,048
  6. Step 6: Final answer
    x = 16,104.71

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