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Finding the Fourth Proportional to 16,251.69, 24,378.45 and 4,564

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Solution

The fourth proportional to 16,251.69, 24,378.45 and 4,564 is: 6,846.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,251.69 : 24,378.45 = 4,564 : x
  2. Step 2: Convert to fraction form
    16,251.69/24,378.45 = 4,564/x
  3. Step 3: Cross multiply
    16,251.69x = 24,378.45 × 4,564
  4. Step 4: Simplify right side
    16,251.69x = 111,263,245.80
  5. Step 5: Solve for x
    x = 111,263,245.80/16,251.69
  6. Step 6: Final answer
    x = 6,846.26

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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.