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Finding the Fourth Proportional to 14,839.20, 20,478.02 and 8,033.22

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Solution

The fourth proportional to 14,839.20, 20,478.02 and 8,033.22 is: 11,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,839.20 : 20,478.02 = 8,033.22 : x
  2. Step 2: Convert to fraction form
    14,839.20/20,478.02 = 8,033.22/x
  3. Step 3: Cross multiply
    14,839.20x = 20,478.02 × 8,033.22
  4. Step 4: Simplify right side
    14,839.20x = 164,504,439.82
  5. Step 5: Solve for x
    x = 164,504,439.82/14,839.20
  6. Step 6: Final answer
    x = 11,085.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.