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Finding the Fourth Proportional to 24,912.60, 37,369 and 7,382.56

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Solution

The fourth proportional to 24,912.60, 37,369 and 7,382.56 is: 11,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,912.60 : 37,369 = 7,382.56 : x
  2. Step 2: Convert to fraction form
    24,912.60/37,369 = 7,382.56/x
  3. Step 3: Cross multiply
    24,912.60x = 37,369 × 7,382.56
  4. Step 4: Simplify right side
    24,912.60x = 275,878,884.64
  5. Step 5: Solve for x
    x = 275,878,884.64/24,912.60
  6. Step 6: Final answer
    x = 11,073.87

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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.