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Finding the Fourth Proportional to 15,201, 22,782.78 and 10,794.60

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Solution

The fourth proportional to 15,201, 22,782.78 and 10,794.60 is: 16,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201 : 22,782.78 = 10,794.60 : x
  2. Step 2: Convert to fraction form
    15,201/22,782.78 = 10,794.60/x
  3. Step 3: Cross multiply
    15,201x = 22,782.78 × 10,794.60
  4. Step 4: Simplify right side
    15,201x = 245,930,996.99
  5. Step 5: Solve for x
    x = 245,930,996.99/15,201
  6. Step 6: Final answer
    x = 16,178.61

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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.