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Finding the Fourth Proportional to 16,827.81, 23,222.54 and 9,274.42

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Solution

The fourth proportional to 16,827.81, 23,222.54 and 9,274.42 is: 12,798.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827.81 : 23,222.54 = 9,274.42 : x
  2. Step 2: Convert to fraction form
    16,827.81/23,222.54 = 9,274.42/x
  3. Step 3: Cross multiply
    16,827.81x = 23,222.54 × 9,274.42
  4. Step 4: Simplify right side
    16,827.81x = 215,375,485.00
  5. Step 5: Solve for x
    x = 215,375,485.00/16,827.81
  6. Step 6: Final answer
    x = 12,798.78

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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.