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Finding the Fourth Proportional to 12,166.72, 18,250.25 and 5,145.85

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Solution

The fourth proportional to 12,166.72, 18,250.25 and 5,145.85 is: 7,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.72 : 18,250.25 = 5,145.85 : x
  2. Step 2: Convert to fraction form
    12,166.72/18,250.25 = 5,145.85/x
  3. Step 3: Cross multiply
    12,166.72x = 18,250.25 × 5,145.85
  4. Step 4: Simplify right side
    12,166.72x = 93,912,931.98
  5. Step 5: Solve for x
    x = 93,912,931.98/12,166.72
  6. Step 6: Final answer
    x = 7,718.84

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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.