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Finding the Fourth Proportional to 16,517.30, 24,776.17 and 5,424.84

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Solution

The fourth proportional to 16,517.30, 24,776.17 and 5,424.84 is: 8,137.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,517.30 : 24,776.17 = 5,424.84 : x
  2. Step 2: Convert to fraction form
    16,517.30/24,776.17 = 5,424.84/x
  3. Step 3: Cross multiply
    16,517.30x = 24,776.17 × 5,424.84
  4. Step 4: Simplify right side
    16,517.30x = 134,406,744.50
  5. Step 5: Solve for x
    x = 134,406,744.50/16,517.30
  6. Step 6: Final answer
    x = 8,137.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.