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Finding the Fourth Proportional to 16,538.65, 24,811.39 and 5,446

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Solution

The fourth proportional to 16,538.65, 24,811.39 and 5,446 is: 8,170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.65 : 24,811.39 = 5,446 : x
  2. Step 2: Convert to fraction form
    16,538.65/24,811.39 = 5,446/x
  3. Step 3: Cross multiply
    16,538.65x = 24,811.39 × 5,446
  4. Step 4: Simplify right side
    16,538.65x = 135,122,829.94
  5. Step 5: Solve for x
    x = 135,122,829.94/16,538.65
  6. Step 6: Final answer
    x = 8,170.12

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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.