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Finding the Fourth Proportional to 12,145.32, 18,220.77 and 3,825.32

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Solution

The fourth proportional to 12,145.32, 18,220.77 and 3,825.32 is: 5,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.32 : 18,220.77 = 3,825.32 : x
  2. Step 2: Convert to fraction form
    12,145.32/18,220.77 = 3,825.32/x
  3. Step 3: Cross multiply
    12,145.32x = 18,220.77 × 3,825.32
  4. Step 4: Simplify right side
    12,145.32x = 69,700,184.79
  5. Step 5: Solve for x
    x = 69,700,184.79/12,145.32
  6. Step 6: Final answer
    x = 5,738.85

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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.