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Finding the Fourth Proportional to 24,096, 36,162.24 and 16,752

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Solution

The fourth proportional to 24,096, 36,162.24 and 16,752 is: 25,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,096 : 36,162.24 = 16,752 : x
  2. Step 2: Convert to fraction form
    24,096/36,162.24 = 16,752/x
  3. Step 3: Cross multiply
    24,096x = 36,162.24 × 16,752
  4. Step 4: Simplify right side
    24,096x = 605,789,844.48
  5. Step 5: Solve for x
    x = 605,789,844.48/24,096
  6. Step 6: Final answer
    x = 25,140.68

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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.