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Finding the Fourth Proportional to 16,644, 24,966 and 9,713.64

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Solution

The fourth proportional to 16,644, 24,966 and 9,713.64 is: 14,570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,644 : 24,966 = 9,713.64 : x
  2. Step 2: Convert to fraction form
    16,644/24,966 = 9,713.64/x
  3. Step 3: Cross multiply
    16,644x = 24,966 × 9,713.64
  4. Step 4: Simplify right side
    16,644x = 242,510,736.24
  5. Step 5: Solve for x
    x = 242,510,736.24/16,644
  6. Step 6: Final answer
    x = 14,570.46

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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.