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Finding the Fourth Proportional to 17,294.31, 23,846.00 and 12,107.07

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Solution

The fourth proportional to 17,294.31, 23,846.00 and 12,107.07 is: 16,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,294.31 : 23,846.00 = 12,107.07 : x
  2. Step 2: Convert to fraction form
    17,294.31/23,846.00 = 12,107.07/x
  3. Step 3: Cross multiply
    17,294.31x = 23,846.00 × 12,107.07
  4. Step 4: Simplify right side
    17,294.31x = 288,705,130.68
  5. Step 5: Solve for x
    x = 288,705,130.68/17,294.31
  6. Step 6: Final answer
    x = 16,693.65

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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.