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Finding the Fourth Proportional to 12,846.20, 17,727.46 and 7,541.51

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Solution

The fourth proportional to 12,846.20, 17,727.46 and 7,541.51 is: 10,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.20 : 17,727.46 = 7,541.51 : x
  2. Step 2: Convert to fraction form
    12,846.20/17,727.46 = 7,541.51/x
  3. Step 3: Cross multiply
    12,846.20x = 17,727.46 × 7,541.51
  4. Step 4: Simplify right side
    12,846.20x = 133,691,709.37
  5. Step 5: Solve for x
    x = 133,691,709.37/12,846.20
  6. Step 6: Final answer
    x = 10,407.11

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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.