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Finding the Fourth Proportional to 24,606, 36,909 and 7,979.94

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Solution

The fourth proportional to 24,606, 36,909 and 7,979.94 is: 11,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,606 : 36,909 = 7,979.94 : x
  2. Step 2: Convert to fraction form
    24,606/36,909 = 7,979.94/x
  3. Step 3: Cross multiply
    24,606x = 36,909 × 7,979.94
  4. Step 4: Simplify right side
    24,606x = 294,531,605.46
  5. Step 5: Solve for x
    x = 294,531,605.46/24,606
  6. Step 6: Final answer
    x = 11,969.91

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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.