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Finding the Fourth Proportional to 18,409.98, 27,626.34 and 8,022.54

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Solution

The fourth proportional to 18,409.98, 27,626.34 and 8,022.54 is: 12,038.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,409.98 : 27,626.34 = 8,022.54 : x
  2. Step 2: Convert to fraction form
    18,409.98/27,626.34 = 8,022.54/x
  3. Step 3: Cross multiply
    18,409.98x = 27,626.34 × 8,022.54
  4. Step 4: Simplify right side
    18,409.98x = 221,633,417.70
  5. Step 5: Solve for x
    x = 221,633,417.70/18,409.98
  6. Step 6: Final answer
    x = 12,038.76

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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.