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Finding the Fourth Proportional to 17,012.16, 23,470.11 and 12,546.63

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Solution

The fourth proportional to 17,012.16, 23,470.11 and 12,546.63 is: 17,309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,012.16 : 23,470.11 = 12,546.63 : x
  2. Step 2: Convert to fraction form
    17,012.16/23,470.11 = 12,546.63/x
  3. Step 3: Cross multiply
    17,012.16x = 23,470.11 × 12,546.63
  4. Step 4: Simplify right side
    17,012.16x = 294,470,786.23
  5. Step 5: Solve for x
    x = 294,470,786.23/17,012.16
  6. Step 6: Final answer
    x = 17,309.43

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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.