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Finding the Fourth Proportional to 20,107.68, 27,730.42 and 12,554.70

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Solution

The fourth proportional to 20,107.68, 27,730.42 and 12,554.70 is: 17,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.68 : 27,730.42 = 12,554.70 : x
  2. Step 2: Convert to fraction form
    20,107.68/27,730.42 = 12,554.70/x
  3. Step 3: Cross multiply
    20,107.68x = 27,730.42 × 12,554.70
  4. Step 4: Simplify right side
    20,107.68x = 348,147,103.97
  5. Step 5: Solve for x
    x = 348,147,103.97/20,107.68
  6. Step 6: Final answer
    x = 17,314.14

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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.