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Finding the Fourth Proportional to 16,496.64, 22,766.64 and 9,425.28

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Solution

The fourth proportional to 16,496.64, 22,766.64 and 9,425.28 is: 13,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.64 : 22,766.64 = 9,425.28 : x
  2. Step 2: Convert to fraction form
    16,496.64/22,766.64 = 9,425.28/x
  3. Step 3: Cross multiply
    16,496.64x = 22,766.64 × 9,425.28
  4. Step 4: Simplify right side
    16,496.64x = 214,581,956.66
  5. Step 5: Solve for x
    x = 214,581,956.66/16,496.64
  6. Step 6: Final answer
    x = 13,007.62

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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.