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Finding the Fourth Proportional to 12,576.42, 18,846.75 and 9,263.46

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Solution

The fourth proportional to 12,576.42, 18,846.75 and 9,263.46 is: 13,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.42 : 18,846.75 = 9,263.46 : x
  2. Step 2: Convert to fraction form
    12,576.42/18,846.75 = 9,263.46/x
  3. Step 3: Cross multiply
    12,576.42x = 18,846.75 × 9,263.46
  4. Step 4: Simplify right side
    12,576.42x = 174,586,114.76
  5. Step 5: Solve for x
    x = 174,586,114.76/12,576.42
  6. Step 6: Final answer
    x = 13,882.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.