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Finding the Fourth Proportional to 24,608.09, 36,918.00 and 7,968.13

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Solution

The fourth proportional to 24,608.09, 36,918.00 and 7,968.13 is: 11,954.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,608.09 : 36,918.00 = 7,968.13 : x
  2. Step 2: Convert to fraction form
    24,608.09/36,918.00 = 7,968.13/x
  3. Step 3: Cross multiply
    24,608.09x = 36,918.00 × 7,968.13
  4. Step 4: Simplify right side
    24,608.09x = 294,167,198.91
  5. Step 5: Solve for x
    x = 294,167,198.91/24,608.09
  6. Step 6: Final answer
    x = 11,954.09

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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.