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Finding the Fourth Proportional to 20,261.31, 27,960.80 and 11,648.79

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Solution

The fourth proportional to 20,261.31, 27,960.80 and 11,648.79 is: 16,075.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,261.31 : 27,960.80 = 11,648.79 : x
  2. Step 2: Convert to fraction form
    20,261.31/27,960.80 = 11,648.79/x
  3. Step 3: Cross multiply
    20,261.31x = 27,960.80 × 11,648.79
  4. Step 4: Simplify right side
    20,261.31x = 325,709,429.19
  5. Step 5: Solve for x
    x = 325,709,429.19/20,261.31
  6. Step 6: Final answer
    x = 16,075.44

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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.