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Finding the Fourth Proportional to 16,311.77, 24,471.29 and 5,219.12

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Solution

The fourth proportional to 16,311.77, 24,471.29 and 5,219.12 is: 7,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.77 : 24,471.29 = 5,219.12 : x
  2. Step 2: Convert to fraction form
    16,311.77/24,471.29 = 5,219.12/x
  3. Step 3: Cross multiply
    16,311.77x = 24,471.29 × 5,219.12
  4. Step 4: Simplify right side
    16,311.77x = 127,718,450.61
  5. Step 5: Solve for x
    x = 127,718,450.61/16,311.77
  6. Step 6: Final answer
    x = 7,829.84

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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.