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Finding the Fourth Proportional to 18,097.80, 27,124.80 and 8,223.48

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Solution

The fourth proportional to 18,097.80, 27,124.80 and 8,223.48 is: 12,325.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.80 : 27,124.80 = 8,223.48 : x
  2. Step 2: Convert to fraction form
    18,097.80/27,124.80 = 8,223.48/x
  3. Step 3: Cross multiply
    18,097.80x = 27,124.80 × 8,223.48
  4. Step 4: Simplify right side
    18,097.80x = 223,060,250.30
  5. Step 5: Solve for x
    x = 223,060,250.30/18,097.80
  6. Step 6: Final answer
    x = 12,325.27

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1.5x scale

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.