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Finding the Fourth Proportional to 16,561.82, 24,839.20 and 5,465.90

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Solution

The fourth proportional to 16,561.82, 24,839.20 and 5,465.90 is: 8,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.82 : 24,839.20 = 5,465.90 : x
  2. Step 2: Convert to fraction form
    16,561.82/24,839.20 = 5,465.90/x
  3. Step 3: Cross multiply
    16,561.82x = 24,839.20 × 5,465.90
  4. Step 4: Simplify right side
    16,561.82x = 135,768,631.71
  5. Step 5: Solve for x
    x = 135,768,631.71/16,561.82
  6. Step 6: Final answer
    x = 8,197.69

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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.