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Finding the Fourth Proportional to 16,827.68, 23,222.76 and 9,274.88

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Solution

The fourth proportional to 16,827.68, 23,222.76 and 9,274.88 is: 12,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827.68 : 23,222.76 = 9,274.88 : x
  2. Step 2: Convert to fraction form
    16,827.68/23,222.76 = 9,274.88/x
  3. Step 3: Cross multiply
    16,827.68x = 23,222.76 × 9,274.88
  4. Step 4: Simplify right side
    16,827.68x = 215,388,312.27
  5. Step 5: Solve for x
    x = 215,388,312.27/16,827.68
  6. Step 6: Final answer
    x = 12,799.64

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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.