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Finding the Fourth Proportional to 12,147.29, 16,760.31 and 6,842.10

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Solution

The fourth proportional to 12,147.29, 16,760.31 and 6,842.10 is: 9,440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.29 : 16,760.31 = 6,842.10 : x
  2. Step 2: Convert to fraction form
    12,147.29/16,760.31 = 6,842.10/x
  3. Step 3: Cross multiply
    12,147.29x = 16,760.31 × 6,842.10
  4. Step 4: Simplify right side
    12,147.29x = 114,675,717.05
  5. Step 5: Solve for x
    x = 114,675,717.05/12,147.29
  6. Step 6: Final answer
    x = 9,440.44

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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.