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Finding the Fourth Proportional to 20,107.67, 27,730.42 and 12,554.69

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Solution

The fourth proportional to 20,107.67, 27,730.42 and 12,554.69 is: 17,314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.67 : 27,730.42 = 12,554.69 : x
  2. Step 2: Convert to fraction form
    20,107.67/27,730.42 = 12,554.69/x
  3. Step 3: Cross multiply
    20,107.67x = 27,730.42 × 12,554.69
  4. Step 4: Simplify right side
    20,107.67x = 348,146,826.67
  5. Step 5: Solve for x
    x = 348,146,826.67/20,107.67
  6. Step 6: Final answer
    x = 17,314.13

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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.