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Finding the Fourth Proportional to 16,558.78, 24,841.23 and 5,465.92

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Solution

The fourth proportional to 16,558.78, 24,841.23 and 5,465.92 is: 8,199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,558.78 : 24,841.23 = 5,465.92 : x
  2. Step 2: Convert to fraction form
    16,558.78/24,841.23 = 5,465.92/x
  3. Step 3: Cross multiply
    16,558.78x = 24,841.23 × 5,465.92
  4. Step 4: Simplify right side
    16,558.78x = 135,780,175.88
  5. Step 5: Solve for x
    x = 135,780,175.88/16,558.78
  6. Step 6: Final answer
    x = 8,199.89

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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.