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Finding the Fourth Proportional to 16,522, 22,797.42 and 9,351.88

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Solution

The fourth proportional to 16,522, 22,797.42 and 9,351.88 is: 12,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522 : 22,797.42 = 9,351.88 : x
  2. Step 2: Convert to fraction form
    16,522/22,797.42 = 9,351.88/x
  3. Step 3: Cross multiply
    16,522x = 22,797.42 × 9,351.88
  4. Step 4: Simplify right side
    16,522x = 213,198,736.15
  5. Step 5: Solve for x
    x = 213,198,736.15/16,522
  6. Step 6: Final answer
    x = 12,903.93

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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.