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Finding the Fourth Proportional to 24,787.20, 37,183.68 and 7,256.64

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Solution

The fourth proportional to 24,787.20, 37,183.68 and 7,256.64 is: 10,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,787.20 : 37,183.68 = 7,256.64 : x
  2. Step 2: Convert to fraction form
    24,787.20/37,183.68 = 7,256.64/x
  3. Step 3: Cross multiply
    24,787.20x = 37,183.68 × 7,256.64
  4. Step 4: Simplify right side
    24,787.20x = 269,828,579.64
  5. Step 5: Solve for x
    x = 269,828,579.64/24,787.20
  6. Step 6: Final answer
    x = 10,885.80

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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.