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Finding the Fourth Proportional to 14,847.54, 22,274.38 and 4,986.54

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Solution

The fourth proportional to 14,847.54, 22,274.38 and 4,986.54 is: 7,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,847.54 : 22,274.38 = 4,986.54 : x
  2. Step 2: Convert to fraction form
    14,847.54/22,274.38 = 4,986.54/x
  3. Step 3: Cross multiply
    14,847.54x = 22,274.38 × 4,986.54
  4. Step 4: Simplify right side
    14,847.54x = 111,072,086.85
  5. Step 5: Solve for x
    x = 111,072,086.85/14,847.54
  6. Step 6: Final answer
    x = 7,480.84

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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.