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Finding the Fourth Proportional to 19,902.54, 27,464.82 and 11,726.13

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Solution

The fourth proportional to 19,902.54, 27,464.82 and 11,726.13 is: 16,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.54 : 27,464.82 = 11,726.13 : x
  2. Step 2: Convert to fraction form
    19,902.54/27,464.82 = 11,726.13/x
  3. Step 3: Cross multiply
    19,902.54x = 27,464.82 × 11,726.13
  4. Step 4: Simplify right side
    19,902.54x = 322,056,049.75
  5. Step 5: Solve for x
    x = 322,056,049.75/19,902.54
  6. Step 6: Final answer
    x = 16,181.66

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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.