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Finding the Fourth Proportional to 10,969.92, 16,445.16 and 8,193.24

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Solution

The fourth proportional to 10,969.92, 16,445.16 and 8,193.24 is: 12,282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.92 : 16,445.16 = 8,193.24 : x
  2. Step 2: Convert to fraction form
    10,969.92/16,445.16 = 8,193.24/x
  3. Step 3: Cross multiply
    10,969.92x = 16,445.16 × 8,193.24
  4. Step 4: Simplify right side
    10,969.92x = 134,739,142.72
  5. Step 5: Solve for x
    x = 134,739,142.72/10,969.92
  6. Step 6: Final answer
    x = 12,282.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.