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Finding the Fourth Proportional to 12,846.10, 17,723.46 and 7,542.22

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Solution

The fourth proportional to 12,846.10, 17,723.46 and 7,542.22 is: 10,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.10 : 17,723.46 = 7,542.22 : x
  2. Step 2: Convert to fraction form
    12,846.10/17,723.46 = 7,542.22/x
  3. Step 3: Cross multiply
    12,846.10x = 17,723.46 × 7,542.22
  4. Step 4: Simplify right side
    12,846.10x = 133,674,234.48
  5. Step 5: Solve for x
    x = 133,674,234.48/12,846.10
  6. Step 6: Final answer
    x = 10,405.82

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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.