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Finding the Fourth Proportional to 24,912.64, 37,375.02 and 7,143.64

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Solution

The fourth proportional to 24,912.64, 37,375.02 and 7,143.64 is: 10,717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,912.64 : 37,375.02 = 7,143.64 : x
  2. Step 2: Convert to fraction form
    24,912.64/37,375.02 = 7,143.64/x
  3. Step 3: Cross multiply
    24,912.64x = 37,375.02 × 7,143.64
  4. Step 4: Simplify right side
    24,912.64x = 266,993,687.87
  5. Step 5: Solve for x
    x = 266,993,687.87/24,912.64
  6. Step 6: Final answer
    x = 10,717.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.