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Finding the Fourth Proportional to 13,892.51, 19,171.79 and 8,227.58

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Solution

The fourth proportional to 13,892.51, 19,171.79 and 8,227.58 is: 11,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.51 : 19,171.79 = 8,227.58 : x
  2. Step 2: Convert to fraction form
    13,892.51/19,171.79 = 8,227.58/x
  3. Step 3: Cross multiply
    13,892.51x = 19,171.79 × 8,227.58
  4. Step 4: Simplify right side
    13,892.51x = 157,737,298.97
  5. Step 5: Solve for x
    x = 157,737,298.97/13,892.51
  6. Step 6: Final answer
    x = 11,354.13

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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.