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Finding the Fourth Proportional to 14,554.50, 20,080.17 and 8,180.22

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Solution

The fourth proportional to 14,554.50, 20,080.17 and 8,180.22 is: 11,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,554.50 : 20,080.17 = 8,180.22 : x
  2. Step 2: Convert to fraction form
    14,554.50/20,080.17 = 8,180.22/x
  3. Step 3: Cross multiply
    14,554.50x = 20,080.17 × 8,180.22
  4. Step 4: Simplify right side
    14,554.50x = 164,260,208.24
  5. Step 5: Solve for x
    x = 164,260,208.24/14,554.50
  6. Step 6: Final answer
    x = 11,285.87

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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.