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Finding the Fourth Proportional to 24,644.09, 36,976.73 and 8,009.22

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Solution

The fourth proportional to 24,644.09, 36,976.73 and 8,009.22 is: 12,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.09 : 36,976.73 = 8,009.22 : x
  2. Step 2: Convert to fraction form
    24,644.09/36,976.73 = 8,009.22/x
  3. Step 3: Cross multiply
    24,644.09x = 36,976.73 × 8,009.22
  4. Step 4: Simplify right side
    24,644.09x = 296,154,857.89
  5. Step 5: Solve for x
    x = 296,154,857.89/24,644.09
  6. Step 6: Final answer
    x = 12,017.28

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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.