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Finding the Fourth Proportional to 20,111.51, 27,753.89 and 11,159

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Solution

The fourth proportional to 20,111.51, 27,753.89 and 11,159 is: 15,399.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,111.51 : 27,753.89 = 11,159 : x
  2. Step 2: Convert to fraction form
    20,111.51/27,753.89 = 11,159/x
  3. Step 3: Cross multiply
    20,111.51x = 27,753.89 × 11,159
  4. Step 4: Simplify right side
    20,111.51x = 309,705,658.51
  5. Step 5: Solve for x
    x = 309,705,658.51/20,111.51
  6. Step 6: Final answer
    x = 15,399.42

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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.