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Finding the Fourth Proportional to 19,644.56, 27,109.68 and 11,261

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Solution

The fourth proportional to 19,644.56, 27,109.68 and 11,261 is: 15,540.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.56 : 27,109.68 = 11,261 : x
  2. Step 2: Convert to fraction form
    19,644.56/27,109.68 = 11,261/x
  3. Step 3: Cross multiply
    19,644.56x = 27,109.68 × 11,261
  4. Step 4: Simplify right side
    19,644.56x = 305,282,106.48
  5. Step 5: Solve for x
    x = 305,282,106.48/19,644.56
  6. Step 6: Final answer
    x = 15,540.29

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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.