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Finding the Fourth Proportional to 12,033.76, 16,599.92 and 6,997.42

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Solution

The fourth proportional to 12,033.76, 16,599.92 and 6,997.42 is: 9,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.76 : 16,599.92 = 6,997.42 : x
  2. Step 2: Convert to fraction form
    12,033.76/16,599.92 = 6,997.42/x
  3. Step 3: Cross multiply
    12,033.76x = 16,599.92 × 6,997.42
  4. Step 4: Simplify right side
    12,033.76x = 116,156,612.21
  5. Step 5: Solve for x
    x = 116,156,612.21/12,033.76
  6. Step 6: Final answer
    x = 9,652.56

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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.