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Finding the Fourth Proportional to 12,166.68, 18,252.68 and 4,771.80

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Solution

The fourth proportional to 12,166.68, 18,252.68 and 4,771.80 is: 7,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.68 : 18,252.68 = 4,771.80 : x
  2. Step 2: Convert to fraction form
    12,166.68/18,252.68 = 4,771.80/x
  3. Step 3: Cross multiply
    12,166.68x = 18,252.68 × 4,771.80
  4. Step 4: Simplify right side
    12,166.68x = 87,098,138.42
  5. Step 5: Solve for x
    x = 87,098,138.42/12,166.68
  6. Step 6: Final answer
    x = 7,158.74

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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.