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Finding the Fourth Proportional to 16,828.35, 23,222.08 and 9,274.26

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Solution

The fourth proportional to 16,828.35, 23,222.08 and 9,274.26 is: 12,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,828.35 : 23,222.08 = 9,274.26 : x
  2. Step 2: Convert to fraction form
    16,828.35/23,222.08 = 9,274.26/x
  3. Step 3: Cross multiply
    16,828.35x = 23,222.08 × 9,274.26
  4. Step 4: Simplify right side
    16,828.35x = 215,367,561.29
  5. Step 5: Solve for x
    x = 215,367,561.29/16,828.35
  6. Step 6: Final answer
    x = 12,797.90

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