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Finding the Fourth Proportional to 12,173.28, 16,793.64 and 7,137.78

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Solution

The fourth proportional to 12,173.28, 16,793.64 and 7,137.78 is: 9,846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,173.28 : 16,793.64 = 7,137.78 : x
  2. Step 2: Convert to fraction form
    12,173.28/16,793.64 = 7,137.78/x
  3. Step 3: Cross multiply
    12,173.28x = 16,793.64 × 7,137.78
  4. Step 4: Simplify right side
    12,173.28x = 119,869,307.72
  5. Step 5: Solve for x
    x = 119,869,307.72/12,173.28
  6. Step 6: Final answer
    x = 9,846.92

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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.