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Finding the Fourth Proportional to 19,713.57, 29,544.43 and 8,020.41

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Solution

The fourth proportional to 19,713.57, 29,544.43 and 8,020.41 is: 12,020.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713.57 : 29,544.43 = 8,020.41 : x
  2. Step 2: Convert to fraction form
    19,713.57/29,544.43 = 8,020.41/x
  3. Step 3: Cross multiply
    19,713.57x = 29,544.43 × 8,020.41
  4. Step 4: Simplify right side
    19,713.57x = 236,958,441.82
  5. Step 5: Solve for x
    x = 236,958,441.82/19,713.57
  6. Step 6: Final answer
    x = 12,020.07

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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.