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Finding the Fourth Proportional to 16,630, 24,949.11 and 4,943.17

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Solution

The fourth proportional to 16,630, 24,949.11 and 4,943.17 is: 7,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,630 : 24,949.11 = 4,943.17 : x
  2. Step 2: Convert to fraction form
    16,630/24,949.11 = 4,943.17/x
  3. Step 3: Cross multiply
    16,630x = 24,949.11 × 4,943.17
  4. Step 4: Simplify right side
    16,630x = 123,327,692.08
  5. Step 5: Solve for x
    x = 123,327,692.08/16,630
  6. Step 6: Final answer
    x = 7,415.98

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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.