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Finding the Fourth Proportional to 12,467.46, 18,628.16 and 12,031.42

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Solution

The fourth proportional to 12,467.46, 18,628.16 and 12,031.42 is: 17,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.46 : 18,628.16 = 12,031.42 : x
  2. Step 2: Convert to fraction form
    12,467.46/18,628.16 = 12,031.42/x
  3. Step 3: Cross multiply
    12,467.46x = 18,628.16 × 12,031.42
  4. Step 4: Simplify right side
    12,467.46x = 224,123,216.79
  5. Step 5: Solve for x
    x = 224,123,216.79/12,467.46
  6. Step 6: Final answer
    x = 17,976.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.