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Finding the Fourth Proportional to 16,541.46, 24,812.46 and 5,449.32

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Solution

The fourth proportional to 16,541.46, 24,812.46 and 5,449.32 is: 8,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,541.46 : 24,812.46 = 5,449.32 : x
  2. Step 2: Convert to fraction form
    16,541.46/24,812.46 = 5,449.32/x
  3. Step 3: Cross multiply
    16,541.46x = 24,812.46 × 5,449.32
  4. Step 4: Simplify right side
    16,541.46x = 135,211,034.53
  5. Step 5: Solve for x
    x = 135,211,034.53/16,541.46
  6. Step 6: Final answer
    x = 8,174.07

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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.