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Finding the Fourth Proportional to 16,947, 25,420.14 and 7,584.84

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Solution

The fourth proportional to 16,947, 25,420.14 and 7,584.84 is: 11,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,947 : 25,420.14 = 7,584.84 : x
  2. Step 2: Convert to fraction form
    16,947/25,420.14 = 7,584.84/x
  3. Step 3: Cross multiply
    16,947x = 25,420.14 × 7,584.84
  4. Step 4: Simplify right side
    16,947x = 192,807,694.68
  5. Step 5: Solve for x
    x = 192,807,694.68/16,947
  6. Step 6: Final answer
    x = 11,377.10

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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.