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Finding the Fourth Proportional to 14,687.73, 21,891.60 and 13,857.48

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Solution

The fourth proportional to 14,687.73, 21,891.60 and 13,857.48 is: 20,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687.73 : 21,891.60 = 13,857.48 : x
  2. Step 2: Convert to fraction form
    14,687.73/21,891.60 = 13,857.48/x
  3. Step 3: Cross multiply
    14,687.73x = 21,891.60 × 13,857.48
  4. Step 4: Simplify right side
    14,687.73x = 303,362,409.17
  5. Step 5: Solve for x
    x = 303,362,409.17/14,687.73
  6. Step 6: Final answer
    x = 20,654.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.