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Finding the Fourth Proportional to 12,153.89, 18,210.30 and 7,464.12

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Solution

The fourth proportional to 12,153.89, 18,210.30 and 7,464.12 is: 11,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.89 : 18,210.30 = 7,464.12 : x
  2. Step 2: Convert to fraction form
    12,153.89/18,210.30 = 7,464.12/x
  3. Step 3: Cross multiply
    12,153.89x = 18,210.30 × 7,464.12
  4. Step 4: Simplify right side
    12,153.89x = 135,923,864.44
  5. Step 5: Solve for x
    x = 135,923,864.44/12,153.89
  6. Step 6: Final answer
    x = 11,183.57

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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.