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Finding the Fourth Proportional to 16,524, 22,796.64 and 9,446.64

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Solution

The fourth proportional to 16,524, 22,796.64 and 9,446.64 is: 13,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524 : 22,796.64 = 9,446.64 : x
  2. Step 2: Convert to fraction form
    16,524/22,796.64 = 9,446.64/x
  3. Step 3: Cross multiply
    16,524x = 22,796.64 × 9,446.64
  4. Step 4: Simplify right side
    16,524x = 215,351,651.29
  5. Step 5: Solve for x
    x = 215,351,651.29/16,524
  6. Step 6: Final answer
    x = 13,032.66

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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.