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Finding the Fourth Proportional to 12,000.27, 16,563.42 and 7,160.22

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Solution

The fourth proportional to 12,000.27, 16,563.42 and 7,160.22 is: 9,882.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.27 : 16,563.42 = 7,160.22 : x
  2. Step 2: Convert to fraction form
    12,000.27/16,563.42 = 7,160.22/x
  3. Step 3: Cross multiply
    12,000.27x = 16,563.42 × 7,160.22
  4. Step 4: Simplify right side
    12,000.27x = 118,597,731.15
  5. Step 5: Solve for x
    x = 118,597,731.15/12,000.27
  6. Step 6: Final answer
    x = 9,882.92

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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.