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Finding the Fourth Proportional to 24,444, 36,666 and 5,976

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Solution

The fourth proportional to 24,444, 36,666 and 5,976 is: 8,964

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,444 : 36,666 = 5,976 : x
  2. Step 2: Convert to fraction form
    24,444/36,666 = 5,976/x
  3. Step 3: Cross multiply
    24,444x = 36,666 × 5,976
  4. Step 4: Simplify right side
    24,444x = 219,116,016
  5. Step 5: Solve for x
    x = 219,116,016/24,444
  6. Step 6: Final answer
    x = 8,964

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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.