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Finding the Fourth Proportional to 16,179.69, 24,266.82 and 4,490.17

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Solution

The fourth proportional to 16,179.69, 24,266.82 and 4,490.17 is: 6,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,179.69 : 24,266.82 = 4,490.17 : x
  2. Step 2: Convert to fraction form
    16,179.69/24,266.82 = 4,490.17/x
  3. Step 3: Cross multiply
    16,179.69x = 24,266.82 × 4,490.17
  4. Step 4: Simplify right side
    16,179.69x = 108,962,147.16
  5. Step 5: Solve for x
    x = 108,962,147.16/16,179.69
  6. Step 6: Final answer
    x = 6,734.50

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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.