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Finding the Fourth Proportional to 24,564, 36,846.24 and 6,096

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Solution

The fourth proportional to 24,564, 36,846.24 and 6,096 is: 9,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564 : 36,846.24 = 6,096 : x
  2. Step 2: Convert to fraction form
    24,564/36,846.24 = 6,096/x
  3. Step 3: Cross multiply
    24,564x = 36,846.24 × 6,096
  4. Step 4: Simplify right side
    24,564x = 224,614,679.04
  5. Step 5: Solve for x
    x = 224,614,679.04/24,564
  6. Step 6: Final answer
    x = 9,144.06

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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.