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Finding the Fourth Proportional to 16,552.02, 24,830.76 and 8,232.30

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Solution

The fourth proportional to 16,552.02, 24,830.76 and 8,232.30 is: 12,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,552.02 : 24,830.76 = 8,232.30 : x
  2. Step 2: Convert to fraction form
    16,552.02/24,830.76 = 8,232.30/x
  3. Step 3: Cross multiply
    16,552.02x = 24,830.76 × 8,232.30
  4. Step 4: Simplify right side
    16,552.02x = 204,414,265.55
  5. Step 5: Solve for x
    x = 204,414,265.55/16,552.02
  6. Step 6: Final answer
    x = 12,349.81

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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.