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Finding the Fourth Proportional to 16,538.94, 24,812.16 and 5,446.74

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Solution

The fourth proportional to 16,538.94, 24,812.16 and 5,446.74 is: 8,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.94 : 24,812.16 = 5,446.74 : x
  2. Step 2: Convert to fraction form
    16,538.94/24,812.16 = 5,446.74/x
  3. Step 3: Cross multiply
    16,538.94x = 24,812.16 × 5,446.74
  4. Step 4: Simplify right side
    16,538.94x = 135,145,384.36
  5. Step 5: Solve for x
    x = 135,145,384.36/16,538.94
  6. Step 6: Final answer
    x = 8,171.34

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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.