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Finding the Fourth Proportional to 24,174.92, 36,262.78 and 6,644.64

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Solution

The fourth proportional to 24,174.92, 36,262.78 and 6,644.64 is: 9,967.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,174.92 : 36,262.78 = 6,644.64 : x
  2. Step 2: Convert to fraction form
    24,174.92/36,262.78 = 6,644.64/x
  3. Step 3: Cross multiply
    24,174.92x = 36,262.78 × 6,644.64
  4. Step 4: Simplify right side
    24,174.92x = 240,953,118.50
  5. Step 5: Solve for x
    x = 240,953,118.50/24,174.92
  6. Step 6: Final answer
    x = 9,967.07

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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.