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Finding the Fourth Proportional to 12,182.46, 16,811.64 and 7,467

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Solution

The fourth proportional to 12,182.46, 16,811.64 and 7,467 is: 10,304.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.46 : 16,811.64 = 7,467 : x
  2. Step 2: Convert to fraction form
    12,182.46/16,811.64 = 7,467/x
  3. Step 3: Cross multiply
    12,182.46x = 16,811.64 × 7,467
  4. Step 4: Simplify right side
    12,182.46x = 125,532,515.88
  5. Step 5: Solve for x
    x = 125,532,515.88/12,182.46
  6. Step 6: Final answer
    x = 10,304.37

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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.