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Finding the Fourth Proportional to 16,504, 22,775.64 and 9,052

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Solution

The fourth proportional to 16,504, 22,775.64 and 9,052 is: 12,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,504 : 22,775.64 = 9,052 : x
  2. Step 2: Convert to fraction form
    16,504/22,775.64 = 9,052/x
  3. Step 3: Cross multiply
    16,504x = 22,775.64 × 9,052
  4. Step 4: Simplify right side
    16,504x = 206,165,093.28
  5. Step 5: Solve for x
    x = 206,165,093.28/16,504
  6. Step 6: Final answer
    x = 12,491.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.